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Mathematics
Lie Groups and Algebra


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Featured Titles in Mathematics - Lie Groups and Algebra
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Lie Groups for Pedestrians 2ND Edition
Lie Groups for Pedestrians 2ND Edition
by Harry Lipkin
Publisher Comments
According to the author of this concise, high-level study, physicists often shy away from group theory, perhaps because they are unsure which parts of the subject belong to the physicist and which belong to the mathematician. However, it is possible for... (read more)

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Algebra and Applications #5: Automorphic Forms and Lie Superalgebras
Algebra and Applications #5: Automorphic Forms and Lie Superalgebras
by Urmie Ray
Publisher Comments
This book provides the reader with the tools to understand the ongoing classification and construction project of Lie superalgebras. It presents the material in as simple terms as possible. Coverage specifically details Borcherds-Kac-Moody superalgebras.... (read more)

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Selected Works of A.I. Shirshov (Contemporary Mathematicians)
Selected Works of A.I. Shirshov (Contemporary Mathematicians)
by Leonid A Bokut
Publisher Comments
This book presents translations of selected works of the famous Russian mathematician A.I. Shirshov (1921-1981). He was a pioneer in several directions of associative, Lie, Jordan, and alternative algebras, as well as groups and projective planes. His... (read more)

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Progress in Mathematics #306: Lie Groups: Structure, Actions, and Representations: In Honor of Joseph A. Wolf on the Occasion of His 75th Birthday
Progress in Mathematics #306: Lie Groups: Structure, Actions, and Representations: In Honor of Joseph A. Wolf on the Occasion of His 75th Birthday
by Alan T Huckleberry
Publisher Comments
Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profound contributions to mathematics. Due... (read more)

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Cambridge Tracts in Mathematics #162: Levy Processes in Lie Groups
Cambridge Tracts in Mathematics #162: Levy Processes in Lie Groups
by Ming Liao
Publisher Comments
Up-to-the minute research on important stochastic processes.... (read more)

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Council for African American Researchers in the Mathematical Sciences: Volume V
Council for African American Researchers in the Mathematical Sciences: Volume V
by Alfred G. Noel and Donald R. King and Gaston M. N'Guerekata and Edray H. Goins
Book News Annotation
Drawn from those presented at the conference held June 2007, these seven papers focus on the representation theory of Lie groups and its application. Topics include many inspired by the Atlas of Lie Groups Project, such as the omega regular unitary... (read more)

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de Gruyter Expositions in Mathematics #42: Simple Lie Algebras Over Fields of Positive Characteristic: II. Classifying the Absolute Toral Rank Two Case
de Gruyter Expositions in Mathematics #42: Simple Lie Algebras Over Fields of Positive Characteristic: II. Classifying the Absolute Toral Rank Two Case
by Helmut Strade
Synopsis
This is the secondvolume by the author, presenting the state of the art of the structure and classification of Lie algebras over fields of positive characteristic, an important topic in algebra. The contents is leading to the forefront of current... (read more)

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Lie Algebras and Locally Compact Groups (Chicago Lectures in Mathematics)
Lie Algebras and Locally Compact Groups (Chicago Lectures in Mathematics)
by Irving Kaplansky
Publisher Comments
This volume presents lecture notes based on the author's courses on Lie algebras and the solution of Hilbert's fifth problem. In chapter 1, "Lie Algebras," the structure theory of semi-simple Lie algebras in characteristic zero is presented, following... (read more)

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Semi-Simple Lie Algebras and Their Representations
Semi-Simple Lie Algebras and Their Representations
by Robert N Cahn
Publisher Comments
Designed to acquaint students of particle physics 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... (read more)

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Abstract Lie Algebras
Abstract Lie Algebras
by David Winter
Publisher Comments
Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. Author David J. Winter, a Professor of Mathematics at the University of Michigan, also presents a general, extensive treatment... (read more)

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Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics / Palle E.T. Jorgensen
Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics / Palle E.T. Jorgensen
by Palle E T Jorgensen
Publisher Comments
Algebras of operators arise frequently in the study of representations of Lie groups, both finite-dimensional and infinite-dimensional. This book begins with extensive background material that covers definitions and terminology, operators in Hilbert... (read more)

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The Orbit Method in Geometry and Physics: In Honor of A.A. Kirillov
The Orbit Method in Geometry and Physics: In Honor of A.A. Kirillov
by Christian Duval
Publisher Comments
The orbit method influenced the development of several areas of mathematics in the second half of the 20th century and continues to be an important tool today. Among the distinguished names associated with the orbit method is that of A.A. Kirillov, whose... (read more)

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London Mathematical Society Student Texts #33: A Primer of Algebraic D-Modules
London Mathematical Society Student Texts #33: A Primer of Algebraic D-Modules
by S C Coutinho
Publisher Comments
This book introduces D-modules and their applications avoiding all unnecessary over-sophistication.... (read more)

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Elements of Mathematics: Lie Groups & Lie Algebras. Part 1: Chapters 1-3
Elements of Mathematics: Lie Groups & Lie Algebras. Part 1: Chapters 1-3
by Nicolas Bourbaki
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de Gruyter Expositions in Mathematics #57: Completion of the Classification
de Gruyter Expositions in Mathematics #57: Completion of the Classification
by Helmut Strade
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Springer Indam #7: Advances in Lie Superalgebras
Springer Indam #7: Advances in Lie Superalgebras
by Paolo Papi
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Categories of Highest Weight Modules Applications To Classical Hermitian Symmetric Pairs Memoirs of the American Mathematical Society 367
Categories of Highest Weight Modules Applications To Classical Hermitian Symmetric Pairs Memoirs of the American Mathematical Society 367
by Thomas J Enright
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Introduction To Lie Groups & Transformation 2ND Edition
Introduction To Lie Groups & Transformation 2ND Edition
by Philippe Tondeur
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Perspectives in Representation Theory Conference
Perspectives in Representation Theory Conference
by Pavel Etingof
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Representations of Rank One Lie Groups 2 N Cohomology Memoirs of the American Mathematical Society Number 387
Representations of Rank One Lie Groups 2 N Cohomology Memoirs of the American Mathematical Society Number 387
by David H Collingwood
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