Highlights in Lie Algebraic Methods

This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, vertex algebras, Littelmann Paths and Kac Moody Borcherds algebras, finite W-algebras, modular representations and primitive ideals, representation theory of Artin algebras, Kac Moody superalgebras, categories of Harish Chandra modules, and cohomological methods.An outgrowth of a two-week summer session at Jacobs University in Bremen, Germany in 2009 ("Structures in Lie Theory, Crystals, Derived Functors, Harish Chandra Modules, Invariants and Quivers"), this volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, vertex algebras, Littelmann Paths and Kac Moody Borcherds algebras, finite W-algebras, modular representations and primitive ideals, representation theory of Artin algebras, Kac Moody superalgebras, categories of Harish Chandra modules, and cohomological methods. §List of Contributors: §M. Boos§M. Brion§J. Fuchs§M. Gorelik§A. Joseph§M. Reineke§C. Schweigert§V. Serganova§A. Seven§W. Soergel§B. Wilson§G. Zuckerman