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Journal of the London Mathematical Society 2005 72(3):585-608; doi:10.1112/S0024610705006861
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© The London Mathematical Society

Codeterminants for the Symplectic Schur Algebra

Gerald Cliff and Anna Stokke

Department of Mathematical and Statistical Sciences, University of Alberta Edmonton, Alberta T6G 2G1, Canada gcliff{at}math.ualberta.ca
Department of Mathematics and Statistics, University of Winnipeg Winnipeg, Manitoba R3B 2E9, Canada a.stokke{at}uwinnipeg.ca

Received 26 February 2004. Revision received 7 January 2005.

Standard codeterminants for Donkin's symplectic Schur algebra Formula are defined. It is shown that they form a basis of Formula. They are then used to give a purely combinatorial proof that Formula is quasi-hereditary.


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