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Classical Lie Algebras at Infinity

. The unifying theme of this book is the structure and representation theory of infinite-dimensional locally reductive Lie algebras and;

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Classical Hopf Algebras and Their Applications

This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative;

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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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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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Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics

This book contains the proceedings of the 2012-2014 Southeastern Lie Theory Workshop Series held at North Carolina State University;

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Introduction To Lie Groups & Lie Algebra

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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Lectures On Sl_2(c)-modules

of Lie algebras. The book treats the case of the smallest simple Lie algebra, namely, the Lie algebra sl_2. It contains classical contents;

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Structure Theory

The problem of classifying the finite dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on;

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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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Symmetries, Lie Algebras and Representations

is provided, and many exercises and examples throughout the book illustrate the use of Lie algebras in real physical problems. The text is written at;

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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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Polynomial Identities of Hopf Algebras

This work is at the meeting point of two theories: the Theory of Hopf Algebras and the Theory of Polynomial Identities. Hopf algebras are;

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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

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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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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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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Algebra - Representation Theory

Over the last three decades representation theory of groups, Lie algebras and associative algebras has undergone a rapid development;

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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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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 Superalgebras and Enveloping Algebras

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

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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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Theory Of Groups And Symmetries

is given. The classification of all finite-dimensional irreducible representations of the Lie algebras of the classical series s (n, C), so(n, C;

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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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