Adapted algebras and standard monomials
Caldero, Philippe ; Littelmann, Peter
HAL, hal-00120663 / Harvested from HAL
Let G be a complex semisimple Lie group. The aim of this article is to compare two basis for G-modules, namely the standard monomial basis and the dual canonical basis. In particular, we give a sufficient condition for a standard monomial to be an element of the dual canonical basis and vice versa.
Publié le : 2004-07-05
Classification:  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]
@article{hal-00120663,
     author = {Caldero, Philippe and Littelmann, Peter},
     title = {Adapted algebras and standard monomials},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00120663}
}
Caldero, Philippe; Littelmann, Peter. Adapted algebras and standard monomials. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00120663/