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CODETERMINANTS FOR THE SYMPLECTIC SCHUR ALGEBRA

Published online by Cambridge University Press:  08 December 2005

GERALD CLIFF  and
ANNA STOKKE
GERALD CLIFF
Affiliation:
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canadagcliff@math.ualberta.ca
ANNA STOKKE
Affiliation:
Department of Mathematics and Statistics, University of Winnipeg, Winnipeg, Manitoba R3B 2E9, Canadaa.stokke@uwinnipeg.ca
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Abstract

Standard codeterminants for Donkin's symplectic Schur algebra $\bar{S}(n,r)$ are defined. It is shown that they form a basis of $\bar{S}(n,r)$. They are then used to give a purely combinatorial proof that $\bar{S}(n,r)$ is quasi-hereditary.

Keywords

20G05 (primary)16W3017B45 (secondary)
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 72 , Issue 3 , December 2005 , pp. 585 - 608
Copyright
The London Mathematical Society 2005

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Footnotes

This research was supported in part by grants from the Natural Sciences and Engineering Research Council of Canada.