The odd nilHecke algebra and its diagrammatics

Details The odd nilHecke algebra and its diagrammatics The odd nilHecke algebra and its diagrammatics

2011-11-05

arxiv.org/abs/1111.1320v1

Mathematics

Quantum Algebra

48 pages, eps and xypic diagrams

Scientific paper

We introduce an odd version of the nilHecke algebra and develop an odd analogue of the thick diagrammatic calculus for nilHecke algebras. We graphically describe idempotents which give a Morita equivalence between odd nilHecke algebras and the rings of odd symmetric functions in finitely many variables. Cyclotomic quotients of odd nilHecke algebras are Morita equivalent to rings which are odd analogues of the cohomology rings of Grassmannians. Like their even counterparts, odd nilHecke algebras categorify the positive half of quantum sl(2).

Affiliated with

Also associated with

No associations

Rating

The odd nilHecke algebra and its diagrammatics 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 The odd nilHecke algebra and its diagrammatics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The odd nilHecke algebra and its diagrammatics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65440