English

On the defining relations for generalized q-Schur algebras

Quantum Algebra 2009-03-06 v3 Rings and Algebras

Abstract

We show that the defining relations needed to describe a generalized q-Schur algebra as a quotient of a quantized enveloping algebra are determined completely by the defining ideal of a certain finite affine variety, the points of which correspond bijectively to the set of weights. This explains, unifies, and extends previous results.

Keywords

Cite

@article{arxiv.0801.0005,
  title  = {On the defining relations for generalized q-Schur algebras},
  author = {S. Doty and A. Giaquinto and J. Sullivan},
  journal= {arXiv preprint arXiv:0801.0005},
  year   = {2009}
}

Comments

33 pages; to appear in "Advances in Math"

R2 v1 2026-06-21T09:58:09.802Z