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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 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

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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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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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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Operators and Representation Theory

explores covariant representation and connections, with a particular focus on infinite-dimensional Lie algebras. Connections to mathematical;

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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 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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Infinite-Dimensional Analysis

of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics;

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Fundamentals of Infinite Dimensional Representation Theory

and becoming one of the mainstays of modern mathematics. Fundamentals of Infinite Dimensional Representation Theory provides an accessible;

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Topology of Infinite Dimensional Manifolds

of Hilbert spaces being universal spaces for absolute Borel spaces, the direct limit of Euclidean spaces, and the direct limit of Hilbert cubes;

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Topology of Infinite Dimensional Manifolds

of Hilbert spaces being universal spaces for absolute Borel spaces, the direct limit of Euclidean spaces, and the direct limit of Hilbert cubes;

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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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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 II

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

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From Euclidean to Hilbert Spaces - Introduction to Functional Analysis and its Applications

From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a;

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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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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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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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The Geometry of Infinite-Dimensional Groups

The aim of this monograph is to give an overview of various classes of in?ni- dimensional Lie groups and their applications, mostly;

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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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An Invitation to Unbounded Representations of Algebras on Hilbert Space

, such as the Weyl algebra and enveloping algebras associated to unitary representations of Lie groups. A broad scope of topics are treated;

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An Invitation to Unbounded Representations of Algebras on Hilbert Space

, such as the Weyl algebra and enveloping algebras associated to unitary representations of Lie groups. A broad scope of topics are treated;

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