Title Lie Algebras, Vertex Operator Algebras and Their Applications

Published Providence : American Mathematical Society, 2007

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Description 1 online resource (500 pages) Series Contemporary Mathematics ; v. 442 Contemporary Mathematics Contents Contents -- Preface -- Biographies of James Lepowsky and Robert Wilson -- List of Ph. D. Students -- List of Talks -- List of Participants -- Lie algebras and related topics -- A Class of Gradings of Simple Lie Algebras -- Conjugacy Results for the Lie Algebra sI2 over an Algebra Which is a UFD -- Kirillov-Reshetikhin Modules Associated to G2 -- Support Spaces and Auslander-Reiten Components -- On the Cohomology of Modular Lie Algebras -- Eisenstein Series on Loop Groups: Maass-Selberg Relations 4 Generalized Littlewood-Richardson Rule for Exceptional Lie Algebras E6 and F4An Introduction to Qn and Its Graph Related Quotients -- Affine Geometric Crystal of Type G2(1) -- New Constructions of Yang-Baxter Systems -- Construction of Some Algebras Associated to Directed Graphs and Related to Factorizations of Noncommutative Polynomials -- Geometric and Combinatorial Realizations of Crystals of Enveloping Algebras -- Lie algebras of Small Dimensiou -- Vertex (operator) algebras and related topics -- Symmetric Polynomials and HD-Quantum Vertex Algebras HT-Vertex AlgebrasOn Intertwining Operators and Recursions -- Representations of Vertex Operator Algebras -- On Non-Semisimple Fusion Rules and Tensor Categories -- The Duality between Vertex Operator Algebras and Coalgebras, Modules and Comodules -- Some Developments in Vertex Operator Algebra Theory, Old and New -- Twisted Modules and Quasi-Modules for Vertex Operator Algebras -- Chiral Algebras and Partition Functions -- Modular Forms and Almost Linear Dependence of Graded Dimensions -- (k, r)-Admissible Configurations and Intertwining Operators Analysis Lepowsky Wilson Notes ""Hilbert Schemes of Points on the Minimal Resolution and Soliton Equations""""Twining Characters and Picard Groups in Rational Conformal Field Theory"" Bibliography Includes bibliographical references Notes English Print version record Subject Lie algebras -- Congresses Vertex operator algebras -- Congresses Representations of algebras -- Congresses Lie algebras Representations of algebras Vertex operator algebras Genre/Form Conference papers and proceedings Form Electronic book Author Misra, Kailash C ISBN 9780821881217 0821881213 9780821857717 0821857711

Other Titles Contemporary Mathematics Contemporary Mathematics, Volume 442 Lie algebras, vertex operator algebras and their applications: international conference in honor of James Lepowsky and Robert Wilson on their sixtieth birthdays, May 17-21, 2005, North Carolina State University, Raleigh, North Carolina

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