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Lie Algebras With Triangular Decompositions

Virasoro and Heisenberg algebras. Focuses on developing the theory of triangular decompositions and part of the Kac--Moody theory not specific to;

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Semisimple Lie Algebras

This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie;

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Semisimple Lie Algebras

This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie;

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Fuzzy Lie Algebras

begins with a concise review of fuzzy set theory, Lie algebras and Lie superalgebras. In turn, Chap. 2 discusses several properties of concepts;

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Introduction to Finite and Infinite Dimensional Lie (Super)algebras

Lie superalgebras are a natural generalization of Lie algebras, having applications in geometry, number theory, gauge field theory, and;

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Lie Groups And Lie Algebras For Physicists

interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie;

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Lie Groups And Lie Algebras For Physicists

interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie;

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Dynamical Systems and Semisimple Groups

This 1998 book provides an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups;

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Dynamical Systems and Semisimple Groups

This 1998 book provides an introduction to dynamical systems and ergodic theory with an emphasis on smooth actions of noncompact Lie groups;

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Jordan Structures in Lie Algebras

This book explores applications of Jordan theory to the theory of Lie algebras. It begins with the general theory of nonassociative;

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Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms

The authors study algebras of singular integral operators on $mathbb R^n$ and nilpotent Lie groups that arise when considering the;

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Lie Groups, Lie Algebras, and Representations

covers Lie groups and Lie algebras and the relationship between them, along with basic representation theory. The second part covers the theory;

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Lie Algebras and Locally Compact Groups

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;

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Semi-Simple Lie Algebras And Their Representations

Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie;

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Complex Semisimple Lie Algebras

complex numbers. The author begins with a summary of the general properties of nilpotent, solvable, and semisimple Lie algebras. Subsequent;

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Identical Relations in Lie Algebras

This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with;

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Exceptional Lie Algebras

This volume presents a set of models for the exceptional Lie algebras over algebraically closed fieldsof characteristic O and over the;

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Lie Groups, Lie Algebras, And Some of Their Applications

to explorations of the classical groups, continuous groups and Lie groups, and Lie groups and Lie algebras. Some simple but illuminating;

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Leibniz Algebras

is the generalization of Lie algebras. These algebras preserve a unique property of Lie algebras that the right multiplication operators are;

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Leibniz Algebras

is the generalization of Lie algebras. These algebras preserve a unique property of Lie algebras that the right multiplication operators are;

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Symmetries, Lie Algebras and Representations

This is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally;

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Affine Lie Algebras and Quantum Groups

connection with loop algebras, and representation theory including modular properties. The necessary background from the theory of semisimple Lie;

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Clifford Algebras and Lie Theory

This monograph provides an introduction to the theory of Clifford algebras, with an emphasis on its connections with the theory of Lie;

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Lie Groups and Lie Algebras

groups and Lie algebras in the late 1950s and early 1960s. Dynkin had a major influence not only on mathematics, but also on the students who;

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Exceptional Lie Algebras

This book provides a set of models for the exceptional lie algebras over algebraically closed fields of characteristic 0 and over the;

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Introduction to the Theory of Abstract Algebras

presents the basic definitions of the theory of abstract algebras. Each of the next four chapters focuses on a major theme of universal algebra;

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Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics

. Some of the articles by experts in the field survey recent developments while others include new results in representations of Lie algebras;

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