Graded super duality for general linear Lie superalgebras
Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:GRCJLQ5Yrecord.jsonopen to challenge →
classification
math.RT
math.QA
keywords
superdualitygradedcategorieschengequivalencegenerallinear
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.