Generators and relations for Schur algebras

Authors
Doty, S Giaquinto, A
Citation
S. Doty et A. Giaquinto, Generators and relations for Schur algebras, EL RES A AM, 7, 2001, pp. 54-62
Citations number
10
Categorie Soggetti
Mathematics
Journal title
ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
10796762 → ACNP
Volume
7
Year of publication
2001
Pages
54 - 62
Database
ISI
SICI code
1079-6762(2001)7:<54:GARFSA>2.0.ZU;2-6
Abstract
We obtain a presentation of Schur algebras (and q-Schur algebras) by genera tors and relations, one 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 Schu r algebras.