Presenting Schur Algebras

Details Presenting Schur Algebras Presenting Schur Algebras

2001-08-06

arxiv.org/abs/math/0108046v3

Mathematics

Representation Theory

38 pages

Scientific paper

Motivated by work of R.M. Green, we obtain a presentation of Schur algebras (both the classical and quantized versions) in terms of generators and relations. The presentation is compatible with the usual presentation of the (quantized or classical) enveloping algebra of gl(n). As a result, we obtain a new ``integral'' basis for Schur algebras which is a subset of Kostant's basis of the integral form of the enveloping algebra (or its q-analogue). Projection onto an appropriate component gives a new "integral" basis and a presentation for the Hecke algebra, compatible with the basis and presentation for the Schur algebra. Finally, we find a second presentation of Schur algebras which is similar to Luzstig's modified form of the quantized enveloping algebra.

Affiliated with

Also associated with

No associations

Rating

Presenting Schur Algebras 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 Presenting Schur Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Presenting Schur Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-327107