A diagrammatic categorification of the q-Schur algebra

Details A diagrammatic categorification of the q-Schur algebra A diagrammatic categorification of the q-Schur algebra

2010-08-07

arxiv.org/abs/1008.1348v3

Mathematics

Quantum Algebra

60 pages, lots of figures. v3: Substantial changes. To appear in Quantum Topology

Scientific paper

In this paper we categorify the q-Schur algebra S(n,d) as a quotient of Khovanov and Lauda's diagrammatic 2-category U(sln). We also show that our 2-category contains Soergel's monoidal category of bimodules of type A, which categorifies the Hecke algebra H(d), as a full sub-2-category if d does not exceed n. For the latter result we use Elias and Khovanov's diagrammatic presentation of Soergel's monoidal category of type A.

Affiliated with

Also associated with

No associations

Rating

A diagrammatic categorification of the q-Schur algebra 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 A diagrammatic categorification of the q-Schur algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A diagrammatic categorification of the q-Schur algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-593844