A Simple Lie

Author : Mary Bush
Publisher : Open Road Media
Page : 337 pages
File Size : 43,7 Mb
Release : 2019-11-27
Category : Fiction
ISBN : 9781504069731

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A Simple Lie by Mary Bush Pdf

Lying to get a job places a New York woman in the path of a deranged killer in this psychological thriller by the author of The Secrets We Bury. Forced to give up her career as a dentist, and still unemployed a year later, Valentina Knight has finally run out of options. With foreclosure looming, she acts in desperation, lying to get a position as an assistant to the county medical examiner. Val’s relieved. She won’t be homeless. But she didn’t count on the lie trapping her in a dangerous game with a killer . . . Val quickly becomes involved in the case of Francine Donohue, who disappeared from her neighborhood and is discovered dead six months later. The bizarre circumstances surrounding the murder are not the first of their kind. With the evidence pointing to a serial killer, and a calling card Val understands, she quickly gets sucked into the case. As Val is pulled in further, the situation takes a darker turn. Someone is aware of the lie she told. Someone who is prepared to kill . . . This fast-paced crime thriller will appeal to fans of authors like Fiona Barton, Teresa Driscoll, and Alice Feeney.

Author : Alfred Magnus
Publisher : American Mathematical Soc.
Page : 52 pages
File Size : 42,8 Mb
Release : 1979
Category : Lie groups
ISBN : 9780821822166

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Non-Spherical Principal Series Representations of a Semisimple Lie Group by Alfred Magnus Pdf

Author : Vladimir K. Dobrev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 421 pages
File Size : 41,5 Mb
Release : 2016-09-12
Category : Mathematics
ISBN : 9783110427806

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Noncompact Semisimple Lie Algebras and Groups by Vladimir K. Dobrev Pdf

With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups. Contents: Introduction Lie Algebras and Groups Real Semisimple Lie Algebras Invariant Differential Operators Case of the Anti-de Sitter Group Conformal Case in 4D Kazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras Multilinear Invariant Differential Operators from New Generalized Verma Modules Bibliography Author Index Subject Index

Author : Robert N. Cahn
Publisher : Courier Corporation
Page : 180 pages
File Size : 52,6 Mb
Release : 2014-06-10
Category : Mathematics
ISBN : 9780486150314

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Semi-Simple Lie Algebras and Their Representations by Robert N. Cahn Pdf

Designed to acquaint students of particle physiME already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras. Additional topiME include Casimir operators and Freudenthal's formula, the Weyl group, Weyl's dimension formula, reducing product representations, subalgebras, and branching rules. 1984 edition.

Author : Jean-Pierre Serre
Publisher : Springer Science & Business Media
Page : 75 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642568848

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Complex Semisimple Lie Algebras by Jean-Pierre Serre Pdf

These short notes, already well-known in their original French edition, present the basic theory of semisimple Lie algebras over the complex numbers. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent chapters introduce Cartan subalgebras, root systems, and linear representations. The last chapter discusses the connection between Lie algebras, complex groups and compact groups. The book is intended to guide the reader towards further study.

Author : Roger W. Carter
Publisher : John Wiley & Sons
Page : 350 pages
File Size : 51,5 Mb
Release : 1989-01-18
Category : Mathematics
ISBN : 0471506834

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Simple Groups of Lie Type by Roger W. Carter Pdf

Now available in paperback--the standard introduction to the theory of simple groups of Lie type. In 1955, Chevalley showed how to construct analogues of the complex simple Lie groups over arbitrary fields. The present work presents the basic results in the structure theory of Chevalley groups and their twisted analogues. Carter looks at groups of automorphisms of Lie algebras, makes good use of Weyl group (also discussing Lie groups over finite fields), and develops the theory of Chevalley and Steinberg groups in the general context of groups with a (B,N)-pair. This new edition contains a corrected proof of the simplicity of twisted groups, a completed list of sporadic simple groups in the final chapter and a few smaller amendments; otherwise, this work remains the classic piece of exposition it was when it first appeared in 1971.

Author : Johan G. F. Belinfante,Bernard Kolman
Publisher : SIAM
Page : 175 pages
File Size : 41,5 Mb
Release : 1989-01-01
Category : Mathematics
ISBN : 1611971330

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A Survey of Lie Groups and Lie Algebras with Applications and Computational Methods by Johan G. F. Belinfante,Bernard Kolman Pdf

Introduces the concepts and methods of the Lie theory in a form accessible to the non-specialist by keeping mathematical prerequisites to a minimum. Although the authors have concentrated on presenting results while omitting most of the proofs, they have compensated for these omissions by including many references to the original literature. Their treatment is directed toward the reader seeking a broad view of the subject rather than elaborate information about technical details. Illustrations of various points of the Lie theory itself are found throughout the book in material on applications. In this reprint edition, the authors have resisted the temptation of including additional topics. Except for correcting a few minor misprints, the character of the book, especially its focus on classical representation theory and its computational aspects, has not been changed.

Author : George B. Seligman
Publisher : American Mathematical Soc.
Page : 185 pages
File Size : 55,5 Mb
Release : 1981
Category : Mathematics
ISBN : 9780821850084

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Rational Constructions of Modules for Simple Lie Algebras by George B. Seligman Pdf

This book is directed to researchers in Lie theory and in the theory of linear algebra, associative or otherwise, and to graduate students who have had some background in one or more of these areas.

Author : William.M. McGovern
Publisher : Routledge
Page : 201 pages
File Size : 45,6 Mb
Release : 2017-10-19
Category : Mathematics
ISBN : 9781351428699

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Nilpotent Orbits In Semisimple Lie Algebra by William.M. McGovern Pdf

Through the 1990s, a circle of ideas emerged relating three very different kinds of objects associated to a complex semisimple Lie algebra: nilpotent orbits, representations of a Weyl group, and primitive ideals in an enveloping algebra. The principal aim of this book is to collect together the important results concerning the classification and properties of nilpotent orbits, beginning from the common ground of basic structure theory. The techniques used are elementary and in the toolkit of any graduate student interested in the harmonic analysis of representation theory of Lie groups. The book develops the Dynkin-Konstant and Bala-Carter classifications of complex nilpotent orbits, derives the Lusztig-Spaltenstein theory of induction of nilpotent orbits, discusses basic topological questions, and classifies real nilpotent orbits. The classical algebras are emphasized throughout; here the theory can be simplified by using the combinatorics of partitions and tableaux. The authors conclude with a survey of advanced topics related to the above circle of ideas. This book is the product of a two-quarter course taught at the University of Washington.

Author : V. S. Varadarajan
Publisher : Cambridge University Press
Page : 326 pages
File Size : 50,7 Mb
Release : 1999-07-22
Category : Mathematics
ISBN : 0521663628

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An Introduction to Harmonic Analysis on Semisimple Lie Groups by V. S. Varadarajan Pdf

Now in paperback, this graduate-level textbook is an introduction to the representation theory of semi-simple Lie groups. As such, it will be suitable for research students in algebra and analysis, and for research mathematicians requiring a readable account of the topic. The author emphasizes the development of the central themes of the sunject in the context of special examples, without losing sight of its general flow and structure. The book concludes with appendices sketching some basic topics with a comprehensive guide to further reading.

Author : Zhe-Xian Wan
Publisher : Elsevier
Page : 241 pages
File Size : 46,5 Mb
Release : 2014-07-10
Category : Mathematics
ISBN : 9781483187303

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Lie Algebras by Zhe-Xian Wan Pdf

Lie Algebras is based on lectures given by the author at the Institute of Mathematics, Academia Sinica. This book discusses the fundamentals of the Lie algebras theory formulated by S. Lie. The author explains that Lie algebras are algebraic structures employed when one studies Lie groups. The book also explains Engel's theorem, nilpotent linear Lie algebras, as well as the existence of Cartan subalgebras and their conjugacy. The text also addresses the Cartan decompositions and root systems of semi-simple Lie algebras and the dependence of structure of semi-simple Lie algebras on root systems. The text explains in details the fundamental systems of roots of semi simple Lie algebras and Weyl groups including the properties of the latter. The book addresses the group of automorphisms and the derivation algebra of a Lie algebra and Schur's lemma. The book then shows the characters of irreducible representations of semi simple Lie algebras. This book can be useful for students in advance algebra or who have a background in linear algebra.

Author : Brian Hall
Publisher : Springer
Page : 452 pages
File Size : 44,8 Mb
Release : 2015-05-11
Category : Mathematics
ISBN : 9783319134673

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Lie Groups, Lie Algebras, and Representations by Brian Hall Pdf

This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula. Review of the first edition: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended. — The Mathematical Gazette

Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
Page : 844 pages
File Size : 54,6 Mb
Release : 2002-08-21
Category : Mathematics
ISBN : 0817642595

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Lie Groups Beyond an Introduction by Anthony W. Knapp Pdf

This book takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. The book initially shares insights that make use of actual matrices; it later relies on such structural features as properties of root systems.

Author : Bhartendu Harishchandra
Publisher : Springer
Page : 152 pages
File Size : 48,8 Mb
Release : 2006-12-08
Category : Mathematics
ISBN : 9783540358657

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Automorphic Forms on Semisimple Lie Groups by Bhartendu Harishchandra Pdf

Author : Sigurdur Helgason
Publisher : Academic Press
Page : 628 pages
File Size : 49,8 Mb
Release : 1979-02-09
Category : Mathematics
ISBN : 0080873960

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

The present book is intended as a textbook and reference work on three topics in the title. Together with a volume in progress on "Groups and Geometric Analysis" it supersedes my "Differential Geometry and Symmetric Spaces," published in 1962. Since that time several branches of the subject, particularly the function theory on symmetric spaces, have developed substantially. I felt that an expanded treatment might now be useful.