Presenting Schur algebras as quotients of the universal enveloping algebra of gl(2)

Details Presenting Schur algebras as quotients of the universal enveloping algebra of gl(2) Presenting Schur algebras as quotients of the universal enveloping algebra of gl(2)

2000-10-01

arxiv.org/abs/math/0010005v1

Mathematics

Representation Theory

22 pages; submitted to Algebras and Representation Theory

Scientific paper

We give a presentation of Schur algebras (over the rational number field) by generators and relations, in fact a presentation which is compatible with Serre's presentation of the universal enveloping algebra of a simple Lie algebra. In the process we find a new basis for Schur algebras, a truncated form of the usual PBW basis. We also locate the integral Schur algebra within the presented algebra as the analogue of Kostant's Z-form, and show that it has an integral basis which is a truncated version of Kostant's basis.

Affiliated with

Also associated with

No associations

Rating

Presenting Schur algebras as quotients of the universal enveloping algebra of gl(2) 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 as quotients of the universal enveloping algebra of gl(2), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Presenting Schur algebras as quotients of the universal enveloping algebra of gl(2) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-530860