Exponential Groups

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Unitary Representation Theory of Exponential Lie Groups

Author : Horst Leptin,Jean Ludwig
Publisher : Walter de Gruyter
Page : 213 pages
File Size : 51,5 Mb
Release : 2011-06-01
Category : Mathematics
ISBN : 9783110874235

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Unitary Representation Theory of Exponential Lie Groups by Horst Leptin,Jean Ludwig Pdf

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany

Exponential Groups

Author : Allen White
Publisher : Hendrickson Publishers
Page : 270 pages
File Size : 45,9 Mb
Release : 2017-02-01
Category : Religion
ISBN : 9781683070344

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Exponential Groups by Allen White Pdf

This book brims with effective strategies for recruiting leaders, connecting members into groups, coaching groups for success, and giving people something to say yes to, even when they have rejected church-wide campaigns previously offered by their churches. Keys to effective, ongoing groups include leadership training, ongoing coaching, appropriate recordkeeping, as well as a sequence of aligned series rather than just a single occasional campaign. This book provides fundamentals that will insure ongoing success proven principles used effectively in hundreds of churches across North America. Readers of Exponential Groupswill learn how to connect their unconnected members into community, recruit the group leaders needed to connect and grow their congregation, coach group leaders for a sustainable group structure that will serve their church for years to come, understand how to maintain current discipleship strategies, and implement new strategies without alienating their members or derailing their current systems.

Lie Groups and Subsemigroups with Surjective Exponential Function

Author : Karl Heinrich Hofmann,Wolfgang Ruppert,Wolfgang A. F. Ruppert
Publisher : American Mathematical Soc.
Page : 189 pages
File Size : 41,5 Mb
Release : 1997
Category : Exponential functions
ISBN : 9780821806418

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Lie Groups and Subsemigroups with Surjective Exponential Function by Karl Heinrich Hofmann,Wolfgang Ruppert,Wolfgang A. F. Ruppert Pdf

In the structure theory of real Lie groups, there is still information lacking about the exponential function. Most notably, there are no general necessary and sufficient conditions for the exponential function to be surjective. It is surprising that for subsemigroups of Lie groups, the question of the surjectivity of the exponential function can be answered. Under nature reductions setting aside the "group part" of the problem, subsemigroups of Lie groups with surjective exponential function are completely classified and explicitly constructed in this memoir. There are fewer than one would think and the proofs are harder than one would expect, requiring some innovative twists. The main protagonists on the scene are SL(2, R) and its universal covering group, almost abelian solvable Lie groups (ie. vector groups extended by homotheties), and compact Lie groups. This text will also be of interest to those working in algebra and algebraic geometry.

Exponential Genus Problems in One-relator Products of Groups

Author : Andrew James Duncan
Publisher : American Mathematical Soc.
Page : 156 pages
File Size : 44,8 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821839454

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Exponential Genus Problems in One-relator Products of Groups by Andrew James Duncan Pdf

Exponential equations in free groups were studied initially by Lyndon and Schutzenberger and then by Comerford and Edmunds. Comerford and Edmunds showed that the problem of determining whether or not the class of quadratic exponential equations have solution is decidable, in finitely generated free groups. In this paper the author shows that for finite systems of quadratic exponential equations decidability passes, under certain hypotheses, from the factor groups to free products and one-relator products.

Harmonic Analysis on Exponential Solvable Lie Groups

Author : Hidenori Fujiwara,Jean Ludwig
Publisher : Springer
Page : 465 pages
File Size : 55,6 Mb
Release : 2014-12-05
Category : Mathematics
ISBN : 9784431552888

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Harmonic Analysis on Exponential Solvable Lie Groups by Hidenori Fujiwara,Jean Ludwig Pdf

This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers. The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups. This method tells us that the unitary dual of these groups is realized as the space of their coadjoint orbits. This fact is established using the Mackey theory for induced representations, and that mechanism is explained first. One of the fundamental problems in the representation theory is the irreducible decomposition of induced or restricted representations. Therefore, these decompositions are studied in detail before proceeding to various related problems: the multiplicity formula, Plancherel formulas, intertwining operators, Frobenius reciprocity, and associated algebras of invariant differential operators. The main reasoning in the proof of the assertions made here is induction, and for this there are not many tools available. Thus a detailed analysis of the objects listed above is difficult even for exponential solvable Lie groups, and it is often assumed that G is nilpotent. To make the situation clearer and future development possible, many concrete examples are provided. Various topics presented in the nilpotent case still have to be studied for solvable Lie groups that are not nilpotent. They all present interesting and important but difficult problems, however, which should be addressed in the near future. Beyond the exponential case, holomorphically induced representations introduced by Auslander and Kostant are needed, and for that reason they are included in this book.

Exponential Organizations

Author : Salim Ismail
Publisher : Diversion Books
Page : 249 pages
File Size : 50,8 Mb
Release : 2014-10-14
Category : Business & Economics
ISBN : 9781626813588

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Exponential Organizations by Salim Ismail Pdf

Frost & Sullivan's 2014 Growth, Innovation, and Leadership Book of the Year "EXPONENTIAL ORGANIZATIONS should be required reading for anyone interested in the ways exponential technologies are reinventing best practices in business." —Ray Kurzweil, Director of Engineering at Google In business, performance is key. In performance, how you organize can be the key to growth. In the past five years, the business world has seen the birth of a new breed of company—the Exponential Organization—that has revolutionized how a company can accelerate its growth by using technology. An ExO can eliminate the incremental, linear way traditional companies get bigger, leveraging assets like community, big data, algorithms, and new technology into achieving performance benchmarks ten times better than its peers. Three luminaries of the business world—Salim Ismail, Yuri van Geest, and Mike Malone—have researched this phenomenon and documented ten characteristics of Exponential Organizations. Here, in EXPONENTIAL ORGANIZATIONS, they walk the reader through how any company, from a startup to a multi-national, can become an ExO, streamline its performance, and grow to the next level. "EXPONENTIAL ORGANIZATIONS is the most pivotal book in its class. Salim examines the future of organizations and offers readers his insights on the concept of Exponential Organizations, because he himself embodies the strategy, structure, culture, processes, and systems of this new breed of company." —John Hagel, The Center for the Edge Chosen by Benjamin Netanyahu, Prime Minister of Israel, to be one of Bloomberg's Best Books of 2015

Stochastic Processes and Operator Calculus on Quantum Groups

Author : U. Franz,René Schott
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 42,8 Mb
Release : 1999-07-31
Category : Mathematics
ISBN : 079235883X

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Stochastic Processes and Operator Calculus on Quantum Groups by U. Franz,René Schott Pdf

This book aims to present several new developments on stochastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Audience: This volume contains introductory material for graduate students who are new to the field, as well as more advanced material for specialists in probability theory, algebraic structures, representation theory, mathematical physics and theoretical physics.

Geometry of Defining Relations in Groups

Author : A.Yu. Ol'shanskii
Publisher : Springer Science & Business Media
Page : 530 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401136181

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Geometry of Defining Relations in Groups by A.Yu. Ol'shanskii Pdf

'Ht moi - ..., si favait su comment en reveniT, One service mathematics hal rendered the je n'y serais point aile.' human race. It has put C.

Homotopy Methods in Topological Fixed and Periodic Points Theory

Author : Jerzy Jezierski,Waclaw Marzantowicz
Publisher : Springer Science & Business Media
Page : 330 pages
File Size : 47,9 Mb
Release : 2005-11-15
Category : Mathematics
ISBN : 1402039301

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Homotopy Methods in Topological Fixed and Periodic Points Theory by Jerzy Jezierski,Waclaw Marzantowicz Pdf

The notion of a ?xed point plays a crucial role in numerous branches of mat- maticsand its applications. Informationabout the existence of such pointsis often the crucial argument in solving a problem. In particular, topological methods of ?xed point theory have been an increasing focus of interest over the last century. These topological methods of ?xed point theory are divided, roughly speaking, into two types. The ?rst type includes such as the Banach Contraction Principle where the assumptions on the space can be very mild but a small change of the map can remove the ?xed point. The second type, on the other hand, such as the Brouwer and Lefschetz Fixed Point Theorems, give the existence of a ?xed point not only for a given map but also for any its deformations. This book is an exposition of a part of the topological ?xed and periodic point theory, of this second type, based on the notions of Lefschetz and Nielsen numbers. Since both notions are homotopyinvariants, the deformationis used as an essential method, and the assertions of theorems typically state the existence of ?xed or periodic points for every map of the whole homotopy class, we refer to them as homotopy methods of the topological ?xed and periodic point theory.

Integrable Hamiltonian Systems on Complex Lie Groups

Author : Velimir Jurdjevic
Publisher : American Mathematical Soc.
Page : 150 pages
File Size : 48,8 Mb
Release : 2005
Category : Hamiltonian systems
ISBN : 9780821837641

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Integrable Hamiltonian Systems on Complex Lie Groups by Velimir Jurdjevic Pdf

Studies the elastic problems on simply connected manifolds $M_n$ whose orthonormal frame bundle is a Lie group $G$. This title synthesizes ideas from optimal control theory, adapted to variational problems on the principal bundles of Riemannian spaces, and the symplectic geometry of the Lie algebra $\mathfrak{g}, $ of $G$

Exponential Transformation

Author : Salim Ismail,Francisco Palao,Michelle Lapierre
Publisher : John Wiley & Sons
Page : 1300 pages
File Size : 47,5 Mb
Release : 2019-05-20
Category : Business & Economics
ISBN : 9781119611448

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Exponential Transformation by Salim Ismail,Francisco Palao,Michelle Lapierre Pdf

A practical handbook for using Exponential Organization to transform your organization—and disrupt your industry—in 10 weeks Today’s top business challenge is adapting to accelerating technological and global change. In his bestselling book Exponential Organizations, author Salim Ismail described a new type of organization that thrives amidst industry disruption. Since then, he has helped organizations disrupt their own industries—by applying Exponential Organization (ExO) principles. From this work emerged the 10-week transformation process explained in this book, called the ExO Sprint. Exponential Transformation is the detailed implementation handbook for becoming an Exponential Organization. The book enables organizations to speed up their transformation and overcome the obstacles to success. Lead a 10-week ExO Sprint Evolve in order to navigate industry disruption Become an Exponential Organization Block the immune-system response of organizations during transformation Companies such as Visa, Procter & Gamble, HP, and Black & Decker have already benefited from ExO process. Exponential Transformation is a must-have resource for participants of any ExO Sprint, as well as those seeking to apply Exponential principles in their organizations.

Symmetries and Group Theory in Particle Physics

Author : Giovanni Costa,Gianluigi Fogli
Publisher : Springer
Page : 291 pages
File Size : 47,9 Mb
Release : 2012-02-03
Category : Science
ISBN : 9783642154829

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Symmetries and Group Theory in Particle Physics by Giovanni Costa,Gianluigi Fogli Pdf

Symmetries, coupled with the mathematical concept of group theory, are an essential conceptual backbone in the formulation of quantum field theories capable of describing the world of elementary particles. This primer is an introduction to and survey of the underlying concepts and structures needed in order to understand and handle these powerful tools. Specifically, in Part I of the book the symmetries and related group theoretical structures of the Minkowskian space-time manifold are analyzed, while Part II examines the internal symmetries and their related unitary groups, where the interactions between fundamental particles are encoded as we know them from the present standard model of particle physics. This book, based on several courses given by the authors, addresses advanced graduate students and non-specialist researchers wishing to enter active research in the field, and having a working knowledge of classical field theory and relativistic quantum mechanics. Numerous end-of-chapter problems and their solutions will facilitate the use of this book as self-study guide or as course book for topical lectures.

Statistics

Author : Michael J. Crawley
Publisher : John Wiley & Sons
Page : 360 pages
File Size : 47,8 Mb
Release : 2014-09-11
Category : Mathematics
ISBN : 9781118941119

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Statistics by Michael J. Crawley Pdf

"...I know of no better book of its kind..." (Journal ofthe Royal Statistical Society, Vol 169 (1), January2006) A revised and updated edition of this bestselling introductorytextbook to statistical analysis using the leading free softwarepackage R This new edition of a bestselling title offers a conciseintroduction to a broad array of statistical methods, at a levelthat is elementary enough to appeal to a wide range ofdisciplines. Step-by-step instructions help thenon-statistician to fully understand the methodology. Thebook covers the full range of statistical techniques likely to beneeded to analyse the data from research projects, includingelementary material like t--tests and chi--squared tests,intermediate methods like regression and analysis of variance, andmore advanced techniques like generalized linear modelling. Includes numerous worked examples and exercises within eachchapter.

Exponential Data Fitting and Its Applications

Author : Victor Pereyra,Godela Scherer
Publisher : Bentham Science Publishers
Page : 206 pages
File Size : 41,9 Mb
Release : 2010
Category : Computers
ISBN : 9781608050482

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Exponential Data Fitting and Its Applications by Victor Pereyra,Godela Scherer Pdf

"Real and complex exponential data fitting is an important activity in many different areas of science and engineering, ranging from Nuclear Magnetic Resonance Spectroscopy and Lattice Quantum Chromodynamics to Electrical and Chemical Engineering, Vision a"

Differential Geometry, Lie Groups, and Symmetric Spaces

Author : Sigurdur Helgason
Publisher : American Mathematical Soc.
Page : 682 pages
File Size : 48,8 Mb
Release : 2001-06-12
Category : Mathematics
ISBN : 9780821828489

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Differential Geometry, Lie Groups, and Symmetric Spaces by Sigurdur Helgason Pdf

A great book ... a necessary item in any mathematical library. --S. S. Chern, University of California A brilliant book: rigorous, tightly organized, and covering a vast amount of good mathematics. --Barrett O'Neill, University of California This is obviously a very valuable and well thought-out book on an important subject. --Andre Weil, Institute for Advanced Study The study of homogeneous spaces provides excellent insights into both differential geometry and Lie groups. In geometry, for instance, general theorems and properties will also hold for homogeneous spaces, and will usually be easier to understand and to prove in this setting. For Lie groups, a significant amount of analysis either begins with or reduces to analysis on homogeneous spaces, frequently on symmetric spaces. For many years and for many mathematicians, Sigurdur Helgason's classic Differential Geometry, Lie Groups, and Symmetric Spaces has been--and continues to be--the standard source for this material. Helgason begins with a concise, self-contained introduction to differential geometry. Next is a careful treatment of the foundations of the theory of Lie groups, presented in a manner that since 1962 has served as a model to a number of subsequent authors. This sets the stage for the introduction and study of symmetric spaces, which form the central part of the book. The text concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbb{C}$ and Cartan's classification of simple Lie algebras over $\mathbb{R}$, following a method of Victor Kac. The excellent exposition is supplemented by extensive collections of useful exercises at the end of each chapter. All of the problems have either solutions or substantial hints, found at the back of the book. For this edition, the author has made corrections and added helpful notes and useful references. Sigurdur Helgason was awarded the Steele Prize for Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis.