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Semisimple algebra
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21	HARDY-LITTLEWOOD VARIETIES AND SEMISIMPLE GROUPS ´v Rudnick Mikhail Borovoi and Zee Introduction Add to Reading List Source URL: www.math.tau.ac.il Language: English - Date: 2006-09-12 15:17:04 Conjectures Diophantine geometry Weil conjecture on Tamagawa numbers Algebraic number field Maximal function Hardy–Littlewood tauberian theorem Abstract algebra Mathematical analysis Mathematics
22	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
23	Algebraic Groups, Lie Groups, and their Arithmetic Subgroups Add to Reading List Source URL: jmilne.org Language: English - Date: 2011-04-01 20:48:54 Algebraic groups Representation theory Lie algebras Reductive group Unipotent Linear algebraic group Semisimple Lie algebra Group scheme Hopf algebra Abstract algebra Algebra Lie groups
24	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
25	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
26	PDF Document Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2009-01-22 12:14:36 Lie algebras En Cartan subalgebra Modular representation theory Representation theory Von Neumann algebra Iwahori–Hecke algebra Semisimple Lie algebra Abstract algebra Algebra Lie groups
27	Proc. Indian Acad. Sci. (Math. Sci.) Vol. 116, No. 4, November 2006, pp. 443–458. © Printed in India The planar algebra of a semisimple and cosemisimple Hopf algebra VIJAY KODIYALAM and V S SUNDER Add to Reading List Source URL: www.ias.ac.in Language: English - Date: 2007-03-06 06:00:33 Knot theory Representation theory Planar algebra C*-algebra Hopf algebra Universal property Abstract algebra Algebra Mathematics
28	Irreducibility and cuspidality Dinakar Ramakrishnan∗ Introduction Irreducible representations are the building blocks of general, semisimple Galois representations ρ, and cuspidal representations are the building bloc Add to Reading List Source URL: www.math.caltech.edu Language: English - Date: 2006-09-12 17:41:35 Representation theory Automorphic forms Number theory Class field theory Cuspidal representation Admissible representation Tate twist Frobenius endomorphism Group representation Abstract algebra Algebra Representation theory of Lie groups
29	Chapter 9 Introducing Noncommutative Algebra We will discuss noncommutative rings and their modules, concentrating on two fundamental results, the Wedderburn structure theorem and Maschke’s theorem. Further insight in Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2006-06-06 11:16:01 Ring theory Semisimple module Simple module Module Injective module Jacobson radical Matrix ring Cyclic module Isomorphism theorem Abstract algebra Algebra Module theory
30	Abstract Algebra: The Basic Graduate Year Robert B. Ash PREFACE This is a text for the basic graduate sequence in abstract algebra, oﬀered by most universities. We study fundamental algebraic structures, namely groups, Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2006-06-06 11:18:56 Algebraic structures Homological algebra Ring theory Injective module Emmy Noether Module Algebraic geometry Semisimple module Projective module Abstract algebra Algebra Module theory