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The integral isomorphism behind row removal phenomena for schur algebras

Published online by Cambridge University Press:  10 May 2018

CHRISTOPHER BOWMAN  and
EUGENIO GIANNELLI
CHRISTOPHER BOWMAN
Affiliation:
School of Mathematics, Statistics and Actuarial Science University of Kent Canterbury CT2 7NF, U.K. e-mail: C.D.Bowman@kent.ac.uk
EUGENIO GIANNELLI
Affiliation:
Trinity Hall, Trinity Lane, Cambridge, CB2 1TJ, U.K. e-mail: eg513@cam.ac.uk
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Abstract

We explain and generalise row and column removal phenomena for Schur algebras via integral isomorphisms between subquotients of these algebras. In particular, we prove new reduction formulae for p-Kostka numbers.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 167 , Issue 2 , September 2019 , pp. 209 - 228
Copyright
Copyright © Cambridge Philosophical Society 2018 

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