Abstract
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.
Original language | English |
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Pages (from-to) | 585-607 |
Number of pages | 23 |
Journal | Selecta Mathematica, New Series |
Volume | 20 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2014 |
Externally published | Yes |
Bibliographical note
Funding 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
- General Mathematics
- General Physics and Astronomy