Title The W3 Algebra : Modules, Semi-infinite Cohomology and BV Algebras Author(s) Bouwknegt, Peter;McCarthy, Jim;Pilch, Krzysztof Publication Berlin, Heidelberg, Springer Berlin Heidelberg, 1996. Description XI, 204 p : online resource Abstract Note W algebras are nonlinear generalizations of Lie algebras that arise in the context of two-dimensional conformal field theories when one explores higher-spin extensions of the Virasoro algebra. They provide the underlying symmetry algebra of certain string generalizations which allow the extended world sheet gravity. This book presents such gravity theories, concentrating on the algebra of physical operators determined from an analysis of the corresponding BRST cohomology. It develops the representation theory of W algebras needed to extend the standard techniques which were so successful in treating linear algebras. For certain strings corresponding to WN gravity we show that the operator cohomology has a natural geometric model. This result suggests new directions for the study of W geometry ISBN,Price 9783540687191 Keyword(s) 1. ALGEBRA 2. EBOOK 3. EBOOK - SPRINGER 4. MATHEMATICAL PHYSICS 5. Theoretical, Mathematical and Computational Physics Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I02011     On Shelf