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Invariants of Nine Dimensional Real Lie Algebras with Nontrivial Levi Decomposition

In this work the author analyse various structural properties of indecomposable nine dimensional real Lie algebras having a non-trivial;

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Introduction to Finite and Infinite Dimensional Lie (Super)algebras

string theory. Introduction to Finite and Infinite Dimensional Lie Algebras and Superalgebras introduces the theory of Lie superalgebras, their;

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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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Knot Invariants and Higher Representation Theory

algebras with an explicit diagrammatic presentation, generalizing the cyclotomic quotient of the KLR algebra. When the Lie algebra under;

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Leibniz Algebras

research in the structural theory of finite-dimensional algebras, particularly, Lie and Leibniz algebras Covers important and more general parts;

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Leibniz Algebras

going into research in the structural theory of finite-dimensional algebras, particularly, Lie and Leibniz algebras Covers important;

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Polynomial Identities of Hopf Algebras

of Lie algebras whose universal or restricted envelope satisfies a nontrivial identity. The present work extends these results to cocommutative;

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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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Cambridge Studies in Advanced Mathematics

deals with classification of the finite dimensional simple Lie algebras and of their finite dimensional irreducible representations. The second;

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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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Infinite-Dimensional Lie Algebras

class of infinite-dimensional Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in Paris;

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Introduction To Vassiliev Knot Invariants

Lie algebras. The authors then describe two constructions of a universal invariant with values in the algebra of Jacobi diagrams: via iterated;

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Theory Of Groups And Symmetries

. Then detailed account of finite-dimensional representations of groups SL(2, C) and SU(2) and their Lie algebras is presented. The general;

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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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Krichever-Novikov Type Algebras

Krichever and Novikov introduced certain classes of infinite dimensional Lie algebras to extend the Virasoro algebra and its related;

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Computational Methods for Representations of Groups and Algebras

special examples in the study of Grothendieck groups, quadratic forms and derived categories of finite-dimensional algebras. Open questions on Lie;

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Exceptional Lie Algebras

field of real numbers. It also provides an introduction to the problem of forms of exceptional simple lie algebras.;

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An Introduction to Lie Groups and Lie Algebras

classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the;

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Lectures On Sl_2(c)-modules

including the description of all finite-dimensional modules and an introduction to the universal enveloping algebras with its primitive ideals;

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Symmetries, Lie Algebras and Representations

introduction to Lie algebras and their representations, covering the Cartan-Weyl basis, simple and affine Lie algebras, real forms and Lie groups, the;

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Lie Superalgebras and Enveloping Algebras

string theory. This book develops the theory of Lie superalgebras, their enveloping algebras, and their representations. The book begins with;

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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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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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Hilbert Schemes of Points and Infinite Dimensional Lie Algebras

schemes of points on complex surfaces and its interplay with infinite dimensional Lie algebras. It starts with the basics of Hilbert schemes;

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Introduction To Lie Groups & Lie Algebra

classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the;

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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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