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

1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The;

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

1985 and January 1986. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The;

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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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Theory Of Groups And Symmetries

theory of finite-dimensional irreducible representations of simple Lie algebras based on the construction of highest weight representations;

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Symmetries, Lie Algebras and Representations

Weyl group, automorphisms, loop algebras and highest weight representations. Chapters 14 to 22 cover specific further topics, such as Verma;

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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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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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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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Representations Of Lie Algebras

included. Based on the author's own introductory course on Lie algebras, this book has been thoroughly road-tested by advanced undergraduate and;

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Lie Groups Lie Algebras and Representations

of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and;

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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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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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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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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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Theory of Group Representations and Fourier Analysis

A. Figa Talamanca: Random Fourier series on compact groups.- S. Helgason: Representations of semisimple Lie groups.- H. Jacquet;

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Quantum Groups

Quantum Groups and Quantum Algebras Highest-Weight Modules over Quantum Algebras Positive-Energy Representations of Noncompact Quantum Algebras;

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Lie Superalgebras and Enveloping Algebras

background material is included on Lie theory, ring theory, Hopf algebras, and combinatorics.;

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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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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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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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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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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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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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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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Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles

This is an all-encompassing and exhaustive exposition of the theory of infinite-dimensional Unitary Representations of Locally Compact;

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