The -Schur algebra

Authors:
Jie Du and Leonard Scott

Journal:
Trans. Amer. Math. Soc. **352** (2000), 4325-4353

MSC (2000):
Primary 20C08, 20G05, 20C33

DOI:
https://doi.org/10.1090/S0002-9947-00-02262-5

Published electronically:
May 23, 2000

MathSciNet review:
1655991

Full-text PDF

Abstract | References | Similar Articles | Additional Information

We study a class of endomomorphism algebras of certain -permutation modules over the Hecke algebra of type , whose summands involve both parabolic and quasi-parabolic subgroups, and prove that these algebras are integrally free and quasi-hereditary, and are stable under base change. Some consequences for decomposition numbers are discussed.

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Additional Information

**Jie Du**

Affiliation:
School of Mathematics, University of New South Wales, Sydney 2052, Australia

Email:
j.du@unsw.edu.au

**Leonard Scott**

Affiliation:
Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903

Email:
lls2l@virginia.edu

DOI:
https://doi.org/10.1090/S0002-9947-00-02262-5

Received by editor(s):
March 3, 1997

Received by editor(s) in revised form:
October 28, 1998

Published electronically:
May 23, 2000

Additional Notes:
The authors would like to thank ARC for support under the Large Grant A69530243 as well as NSF, and the Universities of Virginia and New South Wales for their cooperation. The first author also thanks the Newton Institute at Cambridge for its hospitality.

Article copyright:
© Copyright 2000
American Mathematical Society