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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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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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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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Jordan Structures in Geometry and Analysis

concise historical notes. These include: the connection between Jordan and Lie theory via the Tits-Kantor-Koecher construction of Lie algebras; a;

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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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Extending Structures

Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz;

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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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Representations Of Lie Algebras

This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a;

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Nonassociative Mathematics and its Applications

topics covered by nonassociative mathematics include quasigroups, loops, Latin squares, Lie algebras, Jordan algebras, octonions, racks, quandles;

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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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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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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 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 Algebras and Algebraic Groups

From the reviews: This book presents an important and novel approach to Jordan algebras. [...] Springer's work will be of service to;

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Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification: In Honor of Vyjayanthi Chari on the Occasion of

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues;

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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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