Cohomology of subregular tilting modules for small quantum groups

Details Cohomology of subregular tilting modules for small quantum groups Cohomology of subregular tilting modules for small quantum groups

1999-02-15

arxiv.org/abs/math/9902094v1

Mathematics

Quantum Algebra

5 pages, LaTex2e

Scientific paper

Let $U$ be the quantum group with divided powers in $l-$th root of unity and let $u\subset U$ be the Frobenius kernel. V.Ginzburg and S.Kumar proved that the cohomology algebra of $u$ with trivial coefficients is isomorphic to the functions algebra of the nilpotent cone of the corresponding Lie algebra. In this note we show that there exists tilting module $T$ such that the cohomology of $u$ with coefficients in $T$ is isomorphic to the functions algebra of the closure of the subregular nilpotent orbit.

Affiliated with

Also associated with

No associations

Rating

Cohomology of subregular tilting modules for small quantum groups 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 Cohomology of subregular tilting modules for small quantum groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Cohomology of subregular tilting modules for small quantum groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-572595