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Verma module
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1	Contents Preface Chapter 0. Review of Semisimple Lie Algebras xv Add to Reading List Source URL: www.ams.org Language: English - Date: 2008-05-16 14:10:38 Representation theory Homological algebra Lie algebras Tilting theory Kazhdan–Lusztig polynomial Verma module Jantzen filtration Hodge structure Von Neumann algebra Abstract algebra Algebra Representation theory of Lie algebras
2	Chapter 1 Category O: Basics We begin by laying the foundations for study of the BGG category O, starting with the axioms and their immediate consequences in 1.1. This category encompasses all ﬁnite dimensional U (g)- Add to Reading List Source URL: www.ams.org Language: English - Date: 2008-05-16 14:10:41 Representation theory of Lie algebras Lie algebras Representation theory of Lie groups Representation theory Operator theory Weight Verma module Von Neumann algebra Simple module Algebra Abstract algebra Mathematics
3	Preface Representation theory plays a central role in Lie theory and has developed in numerous specialized directions over recent decades. Motivation comes from many areas of mathematics and physics, notably the Langlan Add to Reading List Source URL: www.ams.org Language: English - Date: 2008-05-16 14:10:43 Lie groups Representation theory Algebraic combinatorics Kazhdan–Lusztig polynomial Homological algebra Semisimple Lie algebra Verma module Joseph Bernstein Lie algebra Abstract algebra Algebra Representation theory of Lie algebras
4	Introduction to Lie Groups and Lie Algebras Alexander Kirillov, Jr. Department of Mathematics, SUNY at Stony Brook, Stony Brook, NY 11794, USA E-mail address: [removed] URL: http://www.math.sunysb.edu/~kir Add to Reading List Source URL: www.math.sunysb.edu Language: English - Date: 2007-10-03 11:13:56 Algebra Semisimple Lie algebra Representation theory Simple Lie group Cartan subalgebra Real form Group representation Harish-Chandra isomorphism Verma module Abstract algebra Lie groups Lie algebras
5	C OMPOSITIO M ATHEMATICA J. N. B ERNSTEIN S. I. G ELFAND Tensor products of finite and infinite dimensional representations of semisimple Lie algebras Add to Reading List Source URL: www.math.tau.ac.il Language: English - Date: 2006-12-13 05:53:14 Module theory Representation theory of Lie algebras Lie algebras Algebraic structures Functor Module Representation theory Adjoint functors Verma module Abstract algebra Algebra Homological algebra
6	Proceedings of Symposia in Pure Mathematics Volume[removed]), pp. 1–27 Structure Theory of Semisimple Lie Groups A. W. Knapp Add to Reading List Source URL: www.math.sunysb.edu Language: English - Date: 2006-10-02 18:34:57 Lie groups Cartan subalgebra Weight Semisimple Lie algebra Weyl group Representation theory Root system Verma module Real form Abstract algebra Lie algebras Group theory
7	Unique Functionals and Representations of Hecke Algebras Benjamin Brubaker, Daniel Bump and Solomon Friedberg October 5, 2012 To the memory of Jonathan David Rogawski Abstract Add to Reading List Source URL: sporadic.stanford.edu Language: English - Date: 2012-10-05 16:08:38 Kazhdan–Lusztig polynomial Hecke algebra Macdonald polynomials Weight Iwahori subgroup Admissible representation Von Neumann algebra Weyl character formula Verma module Abstract algebra Algebra Representation theory
8	Andersen Filtration and Hard Lefschetz Wolfgang Soergel July 5, 2007 For Joseph Bernstein Abstract On the space of homomorphisms from a Verma module to an indecomposable tilting module of the BGG-category O we define a n Add to Reading List Source URL: home.mathematik.uni-freiburg.de Language: English - Date: 2007-07-21 05:49:06 Representation theory Operator theory Weight Jantzen filtration Verma module Von Neumann algebra Spectral theory of ordinary differential equations Exterior algebra Abstract algebra Algebra Lie algebras
9	BOOK REVIEWS 365 Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-01-14 13:33:48 Algebra Representation theory of Lie algebras Lie groups Lie algebras Representation theory Verma module Kazhdan–Lusztig polynomial Harish-Chandra module Representation of a Lie group Abstract algebra Representation theory of Lie groups Group theory
10	Intersection Cohomology Methods in Representation Theory* George Lusztig Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2012-04-18 10:48:29 Deligne–Lusztig theory Weyl character formula Affine Lie algebra Springer correspondence Lie algebra Group representation Algebraic variety Verma module Regular representation Abstract algebra Algebra Representation theory