Highest weight categories arising from Khovanov's diagram algebra III: category O

Details Highest weight categories arising from Khovanov's diagram algebra III: category O Highest weight categories arising from Khovanov's diagram algebra III: category O

2008-12-05

arxiv.org/abs/0812.1090v3

Represent. Theory 15 (2011), 170-243

Mathematics

Representation Theory

78 pages, index of notation added, final version

Scientific paper

We prove that integral blocks of parabolic category O associated to the subalgebra gl(m) x gl(n) of gl(m+n) are Morita equivalent to quasi-hereditary covers of generalised Khovanov algebras. Although this result is in principle known, the existing proof is quite indirect, going via perverse sheaves on Grassmannians. Our new approach is completely algebraic, exploiting Schur-Weyl duality for higher levels. As a by-product we get a concrete combinatorial construction of 2-Kac-Moody representations in the sense of Rouquier corresponding to level two weights in finite type A.

Affiliated with

Also associated with

No associations

Rating

Highest weight categories arising from Khovanov's diagram algebra III: category O 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 Highest weight categories arising from Khovanov's diagram algebra III: category O, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Highest weight categories arising from Khovanov's diagram algebra III: category O will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-365139