000 01383cam a2200229 i 4500
999 _c6273
_d6273
003 OCoLC
005 20200314102242.0
008 130201s2013 enk b 001 0 eng
020 _a978-1-107-02624-7
040 _aDDC
_bEnglish
_cDDC
_dTSSD
082 0 0 _a512.482GRE
100 1 _aGreen, R. M.,
245 1 0 _aCombinatorics of minuscule representations /
_cR.M. Green, University of Colorado, Boulder
264 1 _aCambridge :
_bCambridge University Press,
_cc2013
300 _avii, 320 p. :
_c24 cm
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"--
_cProvided by publisher
650 0 _aRepresentations of Lie algebras
650 0 _aCombinatorial analysis
830 0 _aCambridge tracts in mathematics ;
942 _2ddc
_cBOOK