We study the category Igr of graded representations with finite-dimensional graded pieces for the current algebra g⊗C[t] where g is a simple Lie algebra. This category has many similarities with the category O of modules for g, and in this paper, we prove an analog of the famous BGG duality in the case of sln+1.
Bibliographical noteFunding Information:
A.B. was partially supported by DMS-0800247 and DMS-1101507. V.C. was partially supported by DMS-0901253. S.L. was partially supported by RFBR-CNRS-11-01-93105 and RFBR-12-01-00944. A.K was supported by the grants NSh-3349.2012.2, RFBR-10-01-00836, RFBR-CNRS-10-01-93111, RFBR-CNRS-10-01-93113, and by the Simons Foundation.
ASJC Scopus subject areas
- Mathematics (all)
- Physics and Astronomy (all)