Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10149774 | Journal of Algebra | 2018 | 19 Pages |
Abstract
We show that for any singular dominant integral weight λ of a complex semisimple Lie algebra g, the endomorphism algebra B of any projective-injective module of the parabolic BGG category Oλp is a symmetric algebra (as conjectured by Khovanov) extending the results of Mazorchuk and Stroppel for the regular dominant integral weight. Moreover, the endomorphism algebra B is equipped with a homogeneous (non-degenerate) symmetrizing form. In the appendix, there is a short proof due to K. Coulembier and V. Mazorchuk showing that the endomorphism algebra Bλp of the basic projective-injective module of Oλp is a symmetric algebra.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jun Hu, Ngau Lam,