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 - Harish - Document - PDFSEARCH.IO

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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		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 Download Document from Source Website File Size: 1,39 MB Share Document on Facebook

	Contents Preface Chapter 0. Review of Semisimple Lie Algebras xv DocID: R8ZW - View Document
	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)- DocID: QCAr - View Document
	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 DocID: QuVL - View Document
	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 DocID: NkVZ - View Document
	C OMPOSITIO M ATHEMATICA J. N. B ERNSTEIN S. I. G ELFAND Tensor products of finite and infinite dimensional representations of semisimple Lie algebras DocID: IlkF - View Document