Periodic modules and quantum groups
Varagnolo, Michela
HAL, hal-00019706 / Harvested from HAL
We prove that the elements $A_\\leq$ defined by Lusztig in a completion of the periodic module actually live in the periodic module, in the type A case. In order to prove this, we compare, using Schur duality, these elements with the Kashiwara canonical basis of an integrable module.
Publié le : 2004-07-05
Classification:  [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]
@article{hal-00019706,
     author = {Varagnolo, Michela},
     title = {Periodic modules and quantum groups},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00019706}
}
Varagnolo, Michela. Periodic modules and quantum groups. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00019706/