Generators and relations for Schur algebras
Authors:
Stephen Doty and Anthony Giaquinto
Journal:
Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 5462
MSC (2000):
Primary 16P10, 16S15; Secondary 17B35, 17B37
Published electronically:
June 26, 2001
MathSciNet review:
1852900
Fulltext PDF Free Access
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Abstract: 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 of matrices. We also find several new bases of Schur algebras.
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Additional Information
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:
http://dx.doi.org/10.1090/S1079676201000944
PII:
S 10796762(01)000944
Keywords:
Schur algebras,
finitedimensional algebras,
enveloping algebras,
quantized enveloping algebras
Received by editor(s):
April 8, 2001
Published electronically:
June 26, 2001
Communicated by:
Alexandre Kirillov
Article copyright:
© Copyright 2001
American Mathematical Society
