02622cam a2200385Ia 4500001001300000003000600013005001700019006001900036007001500055008004100070040005800111020003200169020003500201035003800236050002300274072002500297082001500322100003800337245009000375260009300465300004200558504003700600588004700637505047900684520059901163650001901762650001801781650002001799650001601819650002401835650004001859655002201899776021001921856010502131ocm60410408 OCoLC20140120112402.0m o d cr cnu|||unuuu050520s2004 enka ob 001 0 eng d aN$TbengcN$TdOCLdOCLCQdYDXCPdOCLCQdMERUCdOCLCQ a1860945341 (electronic bk.) a9781860945342 (electronic bk.) a(OCoLC)60410408z(OCoLC)149477504 4aQA177b.T56 2004eb 7aMATx0140002bisacsh04a512.232221 aThomas, C. B.q(Charles Benedict)10aRepresentations of finite and Lie groupsh[electronic resource] /cCharles B. Thomas. aLondon :bImperial College Press ;aSingapore :bDistributed by World Scientific,c2004. a1 online resource (x, 146 p.) :bill. aBibliography (p. 143) and index. aDescription based on print version record.0 aRepresentations of Finite and Lie Groups; Preface; Contents; 1. Introduction; 2. Basic Representation Theory -- I; 3. Basic Representation Theory -- II; 4. Induced Representations and their Characters; 5. Multilinear Algebra; 6. Representations of Compact Groups; 7. Lie Groups; 8. SL2(R); Appendix A Integration over Topological Groups; Appendix B Rings with Minimal Condition; Appendix C Modular Representations; Solutions and Hints for the Exercises; Bibliography; Index; aThis book provides an introduction to representations of both finiteand compact groups. The proofs of the basic results are given for thefinite case, but are so phrased as to hold without change for compacttopological groups with an invariant integral replacing the sum overthe group elements as an averaging tool. Among the topics covered arethe relation between representations and characters, the constructionof irreducible representations, induced representations and Frobeniusreciprocity. Special emphasis is given to exterior powers, with thesymmetric group Sn as an illustrative example. 0aFinite groups. 0aGroup theory. 0aCompact groups. 0aLie groups. 0aTopological groups. 7aMATHEMATICSxGroup Theory.2bisacsh 4aElectronic books.08iPrint version:aThomas, C.B. (Charles Benedict).tRepresentations of finite and Lie groups.dLondon : Imperial College Press ; Singapore : Distributed by World Scientific, 2004z1860944825w(OCoLC)57555679403EBSCOhostuhttp://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=130012