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Centralizer of an idempotent in a reductive monoid

Authors
  • Putcha, Mohan S.
Type
Published Article
Journal
Forum Mathematicum
Publisher
De Gruyter
Publication Date
Nov 08, 2011
Volume
26
Issue
2
Pages
323–335
Identifiers
DOI: 10.1515/form.2011.163
Source
De Gruyter
Keywords
License
Yellow

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$\mathcal {J}$ -classes. We compute this poset explicitly when M is of canonical or dual canonical type and e is the relevant pivotal idempotent.

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