000			02663nam a22003498i 4500
001			CR9781139236126
003			UkCbUP
005			20200124160222.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			120125s2012||||enk o ||1 0|eng|d
020			_a9781139236126 (ebook)
020			_z9781107653610 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA252.3 _b.H46 2012
082	0	0	_a512/.482 _223
100	1		_aHenderson, Anthony, _d1976- _eauthor.
245	1	0	_aRepresentations of Lie algebras : _ban introduction through gln / _cAnthony Henderson, School of Mathematics and Statistics, University of Sydney.
264		1	_aCambridge : _bCambridge University Press, _c2012.
300			_a1 online resource (ix, 156 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aAustralian Mathematical Society lecture series ; _v22
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	8		_aMachine generated contents note: 1. Motivation: representations of Lie groups; 2. Definition of a Lie algebra; 3. Basic structure of a Lie algebra; 4. Modules over a Lie algebra; 5. The theory of SL2-modules; 6. General theory of modules; 7. Integral GLn-modules; 8. Guide to further reading; Appendix: solutions to the exercises; Bibliography; Index.
520			_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.
650		0	_aRepresentations of Lie algebras.
776	0	8	_iPrint version: _z9781107653610
830		0	_aAustralian Mathematical Society lecture series ; _v22.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139236126
999			_c516816 _d516814