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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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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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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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Fuzzy Lie Algebras

This book explores certain structures of fuzzy Lie algebras, fuzzy Lie superalgebras and fuzzy n-Lie algebras. In addition, it applies;

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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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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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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 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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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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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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Lie Groups Lie Algebras and Representations

This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal;

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Complex Semisimple Lie Algebras

These short notes, already well-known in their original French edition, present the basic theory of semisimple Lie algebras over the;

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Lie Groups, Lie Algebras, and Representations

Lie groups, Lie algebras, and representation theory are the main focus of this text. In order to keep the prerequisites to a minimum, the;

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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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Representations of Lie Algebras, Quantum Groups and Related Topics

This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held;

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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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Semi-Simple Lie Algebras And Their Representations

of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras;

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Modular Lie Algebras And Their Representations

This book presents an introduction to the structure and representation theory of modular Lie algebras over fields of positive;

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Classical Hopf Algebras and Their Applications

Hopf algebras, such as algebras of representative functions on groups and enveloping algebras of Lie algebras, as explored in the works;

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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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Lectures on Lie Groups and Lie Algebras

In this excellent introduction to the theory of Lie groups and Lie algebras, three of the leading figures in this area have written up;

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Gröbner-shirshov Bases

The book is about (associative, Lie and other) algebras, groups, semigroups presented by generators and defining relations. They play a;

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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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An Introduction to Lie Groups and Lie Algebras

of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the;

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