An Introduction Through gln Henderson, Anthony creator author. text enk 2012 monographic eng

electronic

1 online resource (168 pages) : digital, PDF file(s). 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. Anthony Henderson. Title from publisher's bibliographic system (viewed on 09 Oct 2015). Representations of Lie algebras QA252.3 .H46 2012 512/.482 9781139236126 (ebook) http://dx.doi.org/10.1017/CBO9781139236126 http://dx.doi.org/10.1017/CBO9781139236126 UkCbUP 120125 20171019112333.0 CR9781139236126