000			02550nam a22003618i 4500
001			CR9781139207003
003			UkCbUP
005			20200124160218.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			111124s2013||||enk o ||1 0|eng|d
020			_a9781139207003 (ebook)
020			_z9781107026247 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA252.3 _b.G74 2013
082	0	0	_a512/.482 _223
100	1		_aGreen, R. M., _d1971- _eauthor.
245	1	0	_aCombinatorics of minuscule representations / _cR.M. Green, University of Colorado, Denver.
264		1	_aCambridge : _bCambridge University Press, _c2013.
300			_a1 online resource (vii, 320 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge tracts in mathematics ; _v199
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aClassical Lie algebras and Weyl groups -- Heaps over graphs -- Weyl group actions -- Lie theory -- Minuscule representations -- Full heaps over affine Dynkin diagrams -- Chevalley bases -- Combinatorics of Weyl groups -- The 28 bitangents -- Exceptional structures.
520			_aMinuscule representations occur in a variety of contexts in mathematics and physics. They are typically much easier to understand than representations in general, which means they give rise to relatively easy constructions of algebraic objects such as Lie algebras and Weyl groups. This book describes a combinatorial approach to minuscule representations of Lie algebras using the theory of heaps, which for most practical purposes can be thought of as certain labelled partially ordered sets. This leads to uniform constructions of (most) simple Lie algebras over the complex numbers and their associated Weyl groups, and provides a common framework for various applications. The topics studied include Chevalley bases, permutation groups, weight polytopes and finite geometries. Ideal as a reference, this book is also suitable for students with a background in linear and abstract algebra and topology. Each chapter concludes with historical notes, references to the literature and suggestions for further reading.
650		0	_aRepresentations of Lie algebras.
650		0	_aCombinatorial analysis.
776	0	8	_iPrint version: _z9781107026247
830		0	_aCambridge tracts in mathematics ; _v199.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139207003
999			_c516508 _d516506