02229nam a22003378a 4500 CR9781139236126 UkCbUP 20171019112333.0 m|||||o||d|||||||| cr|||||||||||| 120125s2012||||enk s ||1 0|eng|d 9781139236126 (ebook) 9781107653610 (paperback) UkCbUP UkCbUP rda QA252.3 .H46 2012 512/.482 23 Henderson, Anthony, author. Representations of Lie Algebras : An Introduction Through gln / Anthony Henderson. Cambridge : Cambridge University Press, 2012. 1 online resource (168 pages) : digital, PDF file(s). text txt rdacontent computer c rdamedia online resource cr rdacarrier Australian Mathematical Society Lecture Series ; no. 22 Title from publisher's bibliographic system (viewed on 09 Oct 2015). This 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. Representations of Lie algebras Print version: 9781107653610 Australian Mathematical Society Lecture Series ; no. 22. http://dx.doi.org/10.1017/CBO9781139236126 224937 224937