Super duality for general linear Lie superalgebras and applications

Details Super duality for general linear Lie superalgebras and applications Super duality for general linear Lie superalgebras and applications

2011-09-04

arxiv.org/abs/1109.0667v1

Mathematics

Representation Theory

24 pages

Scientific paper

We apply the super duality formalism recently developed by the authors to obtain new equivalences of various module categories of general linear Lie superalgebras. We establish the correspondence of standard, tilting, and simple modules, as well as the identification of the u-homology groups, under these category equivalences. As an application, we obtain a complete solution of the irreducible character problem for some new parabolic BGG categories of gl(m|n)-modules, including the full BGG category of gl(m|2)-modules, in terms of type A Kazhdan-Lusztig polynomials.

Affiliated with

Also associated with

No associations

Rating

Super duality for general linear Lie superalgebras and applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Super duality for general linear Lie superalgebras and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Super duality for general linear Lie superalgebras and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-108875