Generators and relations for Schur algebras

Details Generators and relations for Schur algebras Generators and relations for Schur algebras

2001-04-08

arxiv.org/abs/math/0104099v1

Mathematics

Representation Theory

9 pages

Scientific paper

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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