Artículos de revistas
Character Formulae And A Realization Of Tilting Modules For Sl(2)[t]
Registro en:
Character Formulae And A Realization Of Tilting Modules For Sl(2)[t]. Academic Press Inc Elsevier Science, v. 441, p. 216-242 Nov-2015.
0021-8693
WOS:000361411700011
10.1016/j.jalgebra.2015.06.026
Autor
Bennett
Matthew; Chari
Vyjayanthi
Institución
Resumen
Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) In this paper we study the category of graded modules for the current algebra associated to sl(2). The category enjoys many nice properties, including a tilting theory which was established in [1]. We show that the indecomposable tilting modules for sl(2)[t] are the exterior powers of the fundamental global Weyl module and give the filtration multiplicities in the standard and costandard filtration. An interesting consequence of our result (which is far from obvious from the abstract definition) is that an indecomposable tilting module admits a free right action of the ring of symmetric polynomials in finitely many variables. Moreover, if we go modulo the augmentation ideal in this ring, the resulting sl(2)[t]-module is isomorphic to the dual of a local Weyl module. (C) 2015 Elsevier Inc. All rights reserved. 441
216 242 Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) BEPE [2013/20243-5] [DMS-1303052] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)