Deformation Theory Of Discontinuous Groups

Author : Ali Baklouti
Publisher : Walter de Gruyter GmbH & Co KG
Page : 498 pages
File Size : 53,9 Mb
Release : 2022-07-05
Category : Mathematics
ISBN : 9783110765304

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Deformation Theory of Discontinuous Groups by Ali Baklouti Pdf

This book contains the latest developments of the theory of discontinuous groups acting on homogenous spaces, from basic concepts to a comprehensive exposition. It develops the newest approaches and methods in the deformation theory of topological modules and unitary representations and focuses on the geometry of discontinuous groups of solvable Lie groups and their compact extensions. It also presents proofs of recent results, computes fundamental examples, and serves as an introduction and reference for students and experienced researchers in Lie theory, discontinuous groups, and deformation (and moduli) spaces.

Author : Ali Baklouti
Publisher : Walter de Gruyter GmbH & Co KG
Page : 379 pages
File Size : 46,5 Mb
Release : 2022-07-05
Category : Mathematics
ISBN : 9783110765397

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Deformation Theory of Discontinuous Groups by Ali Baklouti Pdf

This book contains the latest developments of the theory of discontinuous groups acting on homogenous spaces, from basic concepts to a comprehensive exposition. It develops the newest approaches and methods in the deformation theory of topological modules and unitary representations and focuses on the geometry of discontinuous groups of solvable Lie groups and their compact extensions. It also presents proofs of recent results, computes fundamental examples, and serves as an introduction and reference for students and experienced researchers in Lie theory, discontinuous groups, and deformation (and moduli) spaces.

Author : Joseph Lehner
Publisher : American Mathematical Soc.
Page : 440 pages
File Size : 54,6 Mb
Release : 1964-12-31
Category : Mathematics
ISBN : 9780821815083

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Discontinuous Groups and Automorphic Functions by Joseph Lehner Pdf

Much has been written on the theory of discontinuous groups and automorphic functions since 1880, when the subject received its first formulation. The purpose of this book is to bring together in one place both the classical and modern aspects of the theory, and to present them clearly and in a modern language and notation. The emphasis in this book is on the fundamental parts of the subject. The book is directed to three classes of readers: graduate students approaching the subject for the first time, mature mathematicians who wish to gain some knowledge and understanding of automorphic function theory, and experts.

Author : Victor Guillemin,Shlomo Sternberg
Publisher : American Mathematical Soc.
Page : 80 pages
File Size : 44,6 Mb
Release : 1966
Category : Mathematics
ISBN : 9780821812648

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Deformation Theory of Pseudogroup Structures by Victor Guillemin,Shlomo Sternberg Pdf

Author : Paul Igodt,Herbert Abels,Yves Félix,Fritz Grunewald
Publisher : American Mathematical Soc.
Page : 310 pages
File Size : 50,7 Mb
Release : 2000
Category : Science
ISBN : 9780821820018

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Crystallographic Groups and Their Generalizations by Paul Igodt,Herbert Abels,Yves Félix,Fritz Grunewald Pdf

This volume contains articles written by the invited speakers and workshop participants from the conference on 'Crystallographic Groups and Their Generalizations', held at Katholieke Universiteit Leuven, Kortrijk (Belgium). Presented are recent developments and open problems. Topics include the theory of affine structures and polynomial structures, affine Schottky groups and crooked tilings, theory and problems on the geometry of finitely generated solvable groups, flat Lorentz 3-manifolds and Fuchsian groups, filiform Lie algebras, hyperbolic automorphisms and Anosov diffeomorphisms on infra-nilmanifolds, localization theory of virtually nilpotent groups and aspherical spaces, projective varieties, and results on affine appartment systems. Participants delivered high-level research mathematics and a discussion was held forum for new researchers. The survey results and original papers contained in this volume offer a comprehensive view of current developments in the field.

Author : Sofia Lambropoulou,Doros Theodorou,Petros Stefaneas,Louis H. Kauffman
Publisher : Springer
Page : 482 pages
File Size : 45,8 Mb
Release : 2017-12-14
Category : Mathematics
ISBN : 9783319681030

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Algebraic Modeling of Topological and Computational Structures and Applications by Sofia Lambropoulou,Doros Theodorou,Petros Stefaneas,Louis H. Kauffman Pdf

This interdisciplinary book covers a wide range of subjects, from pure mathematics (knots, braids, homotopy theory, number theory) to more applied mathematics (cryptography, algebraic specification of algorithms, dynamical systems) and concrete applications (modeling of polymers and ionic liquids, video, music and medical imaging). The main mathematical focus throughout the book is on algebraic modeling with particular emphasis on braid groups. The research methods include algebraic modeling using topological structures, such as knots, 3-manifolds, classical homotopy groups, and braid groups. The applications address the simulation of polymer chains and ionic liquids, as well as the modeling of natural phenomena via topological surgery. The treatment of computational structures, including finite fields and cryptography, focuses on the development of novel techniques. These techniques can be applied to the design of algebraic specifications for systems modeling and verification. This book is the outcome of a workshop in connection with the research project Thales on Algebraic Modeling of Topological and Computational Structures and Applications, held at the National Technical University of Athens, Greece in July 2015. The reader will benefit from the innovative approaches to tackling difficult questions in topology, applications and interrelated research areas, which largely employ algebraic tools.

Author : Bertram A. F. Wehrfritz
Publisher : World Scientific
Page : 138 pages
File Size : 41,9 Mb
Release : 1999
Category : Mathematics
ISBN : 9810238746

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Finite Groups by Bertram A. F. Wehrfritz Pdf

The theory of groups, especially of finite groups, is one of the most delightful areas of mathematics. Its proofs often have elegance and crystalline beauty. This textbook is intended for the reader who has been exposed to about three years of serious mathematics. The notion of a group appears widely in mathematics and even further afield in physics and chemistry, and the fundamental idea should be known to all mathematicians. In this textbook a purely algebraic approach is taken and the choice of material is based upon the notion of conjugacy. The aim is not only to cover basic material, but also to present group theory as a living, vibrant and growing discipline, by including references and discussion of some work up to the present day.

Author : Bruce Chandler,Wilhelm Magnus
Publisher : Unknown
Page : 256 pages
File Size : 43,8 Mb
Release : 1982
Category : Combinatorial group theory
ISBN : UOM:39015014354339

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The History of Combinatorial Group Theory by Bruce Chandler,Wilhelm Magnus Pdf

Author : Yossef H. Hatzor,Guowei Ma,Gen-hua Shi
Publisher : CRC Press
Page : 501 pages
File Size : 46,9 Mb
Release : 2017-07-20
Category : Technology & Engineering
ISBN : 9781317416920

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Discontinuous Deformation Analysis in Rock Mechanics Practice by Yossef H. Hatzor,Guowei Ma,Gen-hua Shi Pdf

The numerical, discrete element, Discontinuous Deformation Analysis (DDA) method was developed by Dr. Gen-hua Shi while he was working at the University of California, Berkeley, under the supervision of Prof. Richard E. Goodman in the late 1980s. Two-dimensional DDA was published in 1993 and three-dimensional DDA in 2001. Since its publication DDA has been verified, validated and applied in numerous studies worldwide and is now considered a powerful and robust method to address both static and dynamic engineering problems in discontinuous rock masses. In this book Yossef H. Hatzor and Guowei Ma, co-chairs of the International Society for Rock Mechanics (ISRM) Commission on DDA, join Dr. Shi in authoring a monograph that presents the state of the art in DDA research. A comprehensive discussion of DDA development since its publication is provided in Chapter 1, followed by concise reviews of 2D and 3D DDA in chapters 2 and 3. Procedures to select geological and numerical input parameters for DDA are discussed in Chapter 4, and DDA validation and verification is presented in Chapter 5. Applications of DDA in underground and rock slope engineering projects are discussed in chapters 6 and 7. In Chapter 8 the novel contact theory recently developed by Dr. Shi is published in its complete form, for the first time. This book is published within the framework of the ISRM Book Series and is the contribution of the ISRM DDA Commission to the international rock mechanics community.

Author : Armand Borel,George D. Mostow,American Mathematical Society
Publisher : Unknown
Page : 444 pages
File Size : 45,8 Mb
Release : 1966
Category : Algebraic groups
ISBN : UOM:39015002127226

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Algebraic Groups and Discontinuous Subgroups by Armand Borel,George D. Mostow,American Mathematical Society Pdf

Author : Fine Benjamin,Gaglione Anthony,Baginski Paul
Publisher : World Scientific
Page : 260 pages
File Size : 50,8 Mb
Release : 2017-12-26
Category : Mathematics
ISBN : 9789813204065

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Infinite Group Theory: From The Past To The Future by Fine Benjamin,Gaglione Anthony,Baginski Paul Pdf

The development of algebraic geometry over groups, geometric group theory and group-based cryptography, has led to there being a tremendous recent interest in infinite group theory. This volume presents a good collection of papers detailing areas of current interest. Contents: Groups with the Weak Minimal Condition on Non-Permutable Subgroups (Laxmi K Chatuat and Martyn R Dixon)A Survey: Shamir Threshold Scheme and Its Enhancements (Chi Sing Chum, Benjamin Fine, and Xiaowen Zhang)The Zappa-Szep Product of Left-Orderable Groups (Fabienne Chouraqui)Totally Disconnected Groups From Baumslag-Solitar Groups (Murray Elder and George Willis)Elementary and Universal Theories of Nonabelian Commutative Transitive and CSA Groups (B Fine, A M Gaglione, and D Spellman)Commutative Transitivity and the CSA Property (Benjamin Fine, Anthony Gaglione, Gerhard Rosenberger, and Dennis Spellman)The Universal Theory of Free Burnside Groups of Large Prime Exponent (Anthony M Gaglione, Seymour Lipschutz, and Dennis Spellman)Primitive Curve Lengths on Pairs of Pants (Jane Gilman)Drawing Inferences Under Maximum Entropy From Relational Probabilistic Knowledge Using Group Theory (Gabriele Kern-Isberner, Marco Wilhelm, and Christoph Beierle)On Some Infinite-Dimensional Linear Groups and the Structure of Related Modules (L A Kurdachenko and I Ya Subbotin)On New Analogs of Some Classical Group Theoretical Results in Lie Rings (L A Kurdachenko, A A Pypka and I Ya Subbotin)Log-Space Complexity of the Conjugacy Problem in Wreath Products (Alexei Myasnikov, Svetla Vassileva, and Armin Weiss)Group Presentations, Cayley Graphs and Markov Processes (Peter Olszewski) Readership: Graduate students and researchers in group theory. Keywords: Infinite Group Theory;Combinatorial Group Theory;Geometric Group TheoryReview: Key Features: This book is centered on infinite group theory from a combinatorial and geometric point of view. It also contains material on non-commutative algebraic group-based cryptography

Author : Forsyth
Publisher : Unknown
Page : 718 pages
File Size : 42,8 Mb
Release : 1893
Category : Electronic
ISBN : UBBE:UBBE-00126279

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Theory of Functions of a Complex Variable by Forsyth Pdf

Author : Johns Hopkins University
Publisher : Unknown
Page : 748 pages
File Size : 45,9 Mb
Release : 1893
Category : Electronic
ISBN : HARVARD:HNAWK6

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Annual Report of the President of the Johns Hopkins University, Baltimore, Maryland by Johns Hopkins University Pdf

Author : Johns Hopkins University
Publisher : Unknown
Page : 604 pages
File Size : 49,9 Mb
Release : 1895
Category : Electronic
ISBN : UOM:39015068524316

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Report of the Johns Hopkins University by Johns Hopkins University Pdf

Author : Johns Hopkins University
Publisher : Unknown
Page : 350 pages
File Size : 48,5 Mb
Release : 1894
Category : Electronic
ISBN : UIUC:30112070729295

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Report of the President of the Johns Hopkins University, Baltimore, Maryland by Johns Hopkins University Pdf