02198nam a22003258a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002400195082001700219100003300236245008900269264005200358300005900410336002600469337002600495338003600521490006100557500007300618520100100691650003601692776003501728830006201763856004701825CR9781139236126UkCbUP20171019112333.0m|||||o||d||||||||cr||||||||||||120125s2012||||enk     s     ||1 0|eng|d  a9781139236126 (ebook)  z9781107653610 (paperback)  aUkCbUPcUkCbUPerda00aQA252.3 b.H46 201200a512/.4822231 aHenderson, Anthony,eauthor.10aRepresentations of Lie Algebras :bAn Introduction Through gln /cAnthony Henderson. 1aCambridge :bCambridge University Press,c2012.  a1 online resource (168 pages) :bdigital, PDF file(s).  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier0 aAustralian Mathematical Society Lecture Series ;vno. 22  aTitle from publisher's bibliographic system (viewed on 09 Oct 2015).  aThis bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author's exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and their representations and concludes with a guide to further reading. Numerous examples and exercises with full solutions are included. Based on the author's own introductory course on Lie algebras, this book has been thoroughly road-tested by advanced undergraduate and beginning graduate students and it is also suited to individual readers wanting an introduction to this important area of mathematics. 0aRepresentations of Lie algebras08iPrint version: z9781107653610 0aAustralian Mathematical Society Lecture Series ;vno. 22.40uhttp://dx.doi.org/10.1017/CBO9781139236126