English

Generators and relations for Schur algebras

Representation Theory 2007-05-23 v1 Quantum Algebra

Abstract

We obtain a presentation of Schur algebras (and q-Schur algebras) by generators and relations which is compatible with the usual presentation of the enveloping algebra (quantized enveloping algebra) corresponding to the Lie algebra gl(n) of n x n matrices. We also find several new bases of Schur algebras and their corresponding integral forms.

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Cite

@article{arxiv.math/0104099,
  title  = {Generators and relations for Schur algebras},
  author = {Stephen Doty and Anthony Giaquinto},
  journal= {arXiv preprint arXiv:math/0104099},
  year   = {2007}
}

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9 pages