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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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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

how Jordan algebras can be used as a powerful tool to understand Lie algebras, including infinite-dimensional Lie algebras. Although the book;

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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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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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Lie Algebras With Triangular Decompositions

Imparts a self--contained development of the algebraic theory of Kac--Moody algebras, their representations and close relatives----the;

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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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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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Collected Papers II

of remarkable mathematical theories - most of which are now classics - in the field of Banach algebras, infinite-dimensional representations of Lie;

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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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Collected Papers III

representations of Lie groups, the inverse Sturm-Liouville problem, cohomology of infinite-dimensional Lie algebras, integral geometry, generalized;

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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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Infinite Dimensional Harmonic Analysis Iv

The Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and;

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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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Kirillov's Seminar on Representation Theory

theory held at Moscow University. The papers deal with various aspects of representation theory for Lie algebras and Lie groups, and its;

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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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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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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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Cambridge Tracts in Mathematics

Infinite-dimensional Clifford algebras and their Fock representations originated in the quantum mechanical study of electrons. In this book;

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Lie Groups, Lie Algebras, Cohomology and some Applications in Physics

Now in paperback, this book provides a self-contained introduction to the cohomology theory of Lie groups and algebras and to some of its;

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Lie Theory and Its Applications in Physics

symmetries are employed in their widest sense, embracing representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras;

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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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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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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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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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