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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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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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Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics

, and quantum groups, vertex (operator) algebras and Lie superalgebras.;

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Supersymmetry

of differential operators under Lie algebras, quantum groups and superalgebras. This third volume covers supersymmetry, including detailed coverage;

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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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Non-Associative Algebra and Its Applications

range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications;

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Lie Groups and Lie Algebras

several aspects of modern developments in Lie groups and Lie algebras, including...theory of invariants superalgebras arithmetic applications;

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Perspectives in Lie Theory

, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as well as hyperplane arrangements;

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Enveloping Algebras

. The Committee's citation mentioned Enveloping Algebras as one of Dixmier's 'extraordinary books'. Written with unique precision and;

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Affine Lie Algebras and Quantum Groups

This is an introduction to the theory of affine Lie algebras, to the theory of quantum groups, and to the interrelationships between these;

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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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Complex Analysis and Related Topics

theory and hypercomplex analysis. Articles cover subjects such as the Schrodinger equation, subelliptic operators, Lie algebras and superalgebras;

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Algebra and Applications 1

chapters in this volume cover a wide variety of algebraic structures and their related topics. Jordan superalgebras, Lie algebras, composition;

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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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Clifford Algebras and Lie Theory

groups and Lie algebras. The book starts with a detailed presentation of the main results on symmetric bilinear forms and Clifford algebras. It;

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Computational Aspects of Polynomial Identities

proving diverse theorems. They also lay the groundwork for analogous theorems that have recently been proved for Lie algebras and alternative;

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Computational Aspects of Polynomial Identities

proving diverse theorems. They also lay the groundwork for analogous theorems that have recently been proved for Lie algebras and alternative;

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Lectures on Algebraic Quantum Groups

coordinate rings of algebraic groups and spaces and on quantized enveloping algebras of semisimple Lie algebras. Large parts of the material are;

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Introduction to Quantum Groups

Lie algebras, knot theorists and to theoretical physicists and graduate students. Since large parts of the book are independent of the theory;

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Quantum Groups

invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main;

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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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Complex Semisimple Quantum Groups and Representation Theory

of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with 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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Lie Theory and Its Applications in Physics

This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop Lie Theory;

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Semisimple Lie Algebras

algebras, including the classification of complex semisimple Lie algebras, and the Levi, Cartan and Iwasawa decompositions.;

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Semisimple Lie Algebras

algebras, including the classification of complex semisimple Lie algebras, and the Levi, Cartan and Iwasawa decompositions.;

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