Artículos de revistas
Macdonald polynomials and BGG reciprocity for current algebras
Registro en:
Selecta Mathematica-new Series. Springer Basel Ag, v. 20, n. 2, n. 585, n. 607, 2014.
1022-1824
1420-9020
WOS:000333125300006
10.1007/s00029-013-0141-7
Autor
Bennett, M
Berenstein, A
Chari, V
Khoroshkin, A
Loktev, S
Institución
Resumen
We study the category of graded representations with finite-dimensional graded pieces for the current algebra where is a simple Lie algebra. This category has many similarities with the category of modules for , and in this paper, we prove an analog of the famous BGG duality in the case of . 20 2 585 607 Simons Foundation [DMS-0800247] [DMS-1101507] [DMS-0901253] [RFBR-CNRS-11-01-93105] [RFBR-12-01-00944] [NSh-3349.2012.2] [RFBR-10-01-00836] [RFBR-CNRS-10-01-93111] [RFBR-CNRS-10-01-93113] [DMS-0800247] [DMS-1101507] [DMS-0901253] [RFBR-CNRS-11-01-93105] [RFBR-12-01-00944] [NSh-3349.2012.2] [RFBR-10-01-00836] [RFBR-CNRS-10-01-93111] [RFBR-CNRS-10-01-93113]