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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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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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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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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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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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Jordan Structures in Lie Algebras

algebras and of Lie algebras and then focuses on properties of Jordan elements of special types. Then it proceeds to the core of the book, in which;

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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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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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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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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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Complex Semisimple Quantum Groups and Representation Theory

thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite;

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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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Writing Small Omegas

theory of finite continuous groups, critically examining Cartan's doctoral attempts to rigorously classify simple Lie algebras, including the use;

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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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Triangulated Categories In The Representation Of Finite Dime

This book is an introduction to the use of triangulated categories in the study of representations of finite-dimensional algebras;

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Infinite Crossed Products

advanced from their first occurrence in finite dimensional division algebras and central simple algebras to a closer relationship with the study;

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Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras (2nd Edition)

dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such;

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Bombay Lectures On Highest Weight Representations Of Infinite Dimensional Lie Algebras (2nd Edition)

dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such;

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Groups and Manifolds

finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional;

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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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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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Vertex Operator Algebras and the Monster

This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras;

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Automorphic Forms on SL2 (R)

(reviewed, with references) and some familiarity with the elementary theory of Lie groups and Lie algebras. Graduate students and researchers;

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Automorphic Forms on SL2 (R)

(reviewed, with references) and some familiarity with the elementary theory of Lie groups and Lie algebras. Graduate students and researchers;

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Introduction to Modern Algebra and Its Applications

The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory;

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A First Course in Functional Analysis

operators, Hilbert spaces, operators on Hilbert spaces, spectral theory and Banach algebras usually taught as a core course to post-graduate;

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