000 01368cam a2200217 i 4500
008 130201s2013 enk b 001 0 eng
020 _a9781107026247 (hardback)
082 0 0 _a512.482
_bGER
100 1 _aGreen, R. M.,
_d1971-
245 1 0 _aCombinatorics of minuscule representations /
_cR.M. Green, University of Colorado, Denver.
260 _aCambridge
_bCambridge Univ.
_cc2013
300 _avii, 320 pages ;
_c24 cm.
490 0 _aCambridge tracts in mathematics ;
_v199
504 _aIncludes bibliographical references and index.
520 _a"Highest weight modules play a key role in the representation theory of several classes of algebraic objects occurring in Lie theory, including Lie algebras, Lie groups, algebraic groups, Chevalley groups and quantized enveloping algebras. In many of the most important situations, the weights may be regarded as points in Euclidean space, and there is a finite group (called a Weyl group) that acts on the set of weights by linear transformations. The minuscule representations are those for which the Weyl group acts transitively on the weights, and the highest weight of such a representation is called a minuscule weight"--
600 _aMathematics
650 0 _aRepresentations of Lie algebras.
650 0 _aCombinatorial analysis.
650 7 _aMATHEMATICS / Algebra / General.
_2bisacsh
942 _cBK
999 _c61347
_d61347