Graded super duality for general linear Lie superalgebras
Representation Theory
2017-12-05 v1 Quantum Algebra
Abstract
We provide a new proof of the super duality equivalence between infinite-rank parabolic BGG categories of general linear Lie (super) algebras conjectured by Cheng and Wang and first proved by Cheng and Lam. We do this by establishing a new uniqueness theorem for tensor product categorifications motivated by work of Brundan, Losev, and Webster. Moreover we show that these BGG categories have Koszul graded lifts and super duality can be lifted to a graded equivalence.
Keywords
Cite
@article{arxiv.1712.00529,
title = {Graded super duality for general linear Lie superalgebras},
author = {Christopher Leonard},
journal= {arXiv preprint arXiv:1712.00529},
year = {2017}
}
Comments
25 pages; preliminary version, comments welcome