Canonical bases and the conjugating representation of a semisimple group
Baumann, Pierre
HAL, hal-00143355 / Harvested from HAL
Text on HAL
Let G be a semisimple simply connected affine algebraic group over an algebraically closed field k of characteristic zero, let A(G) be the k-algebra of regular functions of G, and let C(G) be the subalgebra consisting of class functions. We explain how Lusztig's work on canonical bases affords a constructive proof of the fact, due to Richardson, that A(G) is a free C(G)-module.
Publié le : 2002-07-05
Classification:  reductive groups,  canonical basis,  Richardson's separation theorem,  MSC 20G15,  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT] 
@article{hal-00143355,
     author = {Baumann, Pierre},
     title = {Canonical bases and the conjugating representation of a semisimple group},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00143355}
}

Baumann, Pierre. Canonical bases and the conjugating representation of a semisimple group. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00143355/