English

Polynomial representations of GL(n) and Schur-Weyl duality

Representation Theory 2013-11-05 v1 Rings and Algebras

Abstract

Polynomial representations of general linear groups and modules over Schur algebras are compared. We work over an arbitrary commutative ring and show that Schur-Weyl duality is the key for an equivalence between both categories.

Keywords

Cite

@article{arxiv.1311.0820,
  title  = {Polynomial representations of GL(n) and Schur-Weyl duality},
  author = {Henning Krause},
  journal= {arXiv preprint arXiv:1311.0820},
  year   = {2013}
}

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4 pages