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Centralizer of an idempotent in a reductive monoid

Centralizer of an idempotent in a reductive monoid Abstract Let M be a reductive monoid. If e is an idempotent in M , we prove that the centralizer M ( e ) of e in M is a regular monoid with a finite graded poset of 𝒥-classes. We compute this poset explicitly when M is of canonical or dual canonical type and e is the relevant pivotal idempotent. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Centralizer of an idempotent in a reductive monoid

Forum Mathematicum , Volume 26 (2) – Mar 1, 2014

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Publisher
de Gruyter
Copyright
Copyright © 2014 by the
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/form.2011.163
Publisher site
See Article on Publisher Site

Abstract

Abstract Let M be a reductive monoid. If e is an idempotent in M , we prove that the centralizer M ( e ) of e in M is a regular monoid with a finite graded poset of 𝒥-classes. We compute this poset explicitly when M is of canonical or dual canonical type and e is the relevant pivotal idempotent.

Journal

Forum Mathematicumde Gruyter

Published: Mar 1, 2014

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