Electronic Research Announcements

Author(s): Stephen Doty; Anthony Giaquinto
Journal: Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 54-62.
MSC (2000): Primary 16P10, 16S15; Secondary 17B35, 17B37
Posted: June 26, 2001
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We obtain a presentation of Schur algebras (and

-Schur algebras) by generators and relations, one which is compatible with the usual presentation of the enveloping algebra (quantized enveloping algebra) corresponding to the Lie algebra $\mathfrak{gl}_n$ of $n\times n$ matrices. We also find several new bases of Schur algebras.

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Retrieve articles in Electronic Research Announcements with MSC (2000): 16P10, 16S15, 17B35, 17B37

Stephen Doty
Affiliation: Department of Mathematics, Loyola University, Chicago, IL 60626
Email: doty@math.luc.edu

Anthony Giaquinto
Affiliation: Department of Mathematics, Loyola University, Chicago, IL 60626
Email: tonyg@math.luc.edu

DOI: 10.1090/S1079-6762-01-00094-4
PII: S 1079-6762(01)00094-4
Keywords: Schur algebras, finite-dimensional algebras, enveloping algebras, quantized enveloping algebras
Received by editor(s): April 8, 2001
Posted: June 26, 2001
Communicated by: Alexandre Kirillov
Copyright of article: Copyright 2001, American Mathematical Society

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