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 |