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TitleA bideterminant basis for a reductive monoid
Author(s) Rudolf Tange
TypeArticle in Journal
AbstractWe use the rational tableaux introduced by Stembridge to give a bideterminant basis for a normal reductive monoid and for its variety of noninvertible elements. We also obtain a bideterminant basis for the full coordinate ring of the general linear group and for all its truncations with respect to saturated sets. Finally, we deduce an alternative proof of the double centraliser theorem for the rational Schur algebra and the walled Brauer algebra over an arbitrary infinite base field which was first obtained by Dipper, Doty and Stoll.
ISSN0022-4049
URL http://www.sciencedirect.com/science/article/pii/S0022404911002465
LanguageEnglish
JournalJournal of Pure and Applied Algebra
Volume216
Number5
Pages1207 - 1221
Year2012
Edition0
Translation No
Refereed No
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