Primitive Orthogonal Idempotents For R-Trivial Monoids

Chris Berg,Nantel Bergeron,Sandeep Bhargava,Franco Saliola

JOURNAL OF ALGEBRA（2011）

引用 21|浏览9

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摘要

We construct a recursive formula for a complete system of primitive orthogonal idempotents for any R-trivial monoid. This uses the newly proved equivalence between the notions of R-trivial monoid and weakly ordered monoid. (C) 2011 Elsevier Inc. All rights reserved.

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关键词

Monoids,0-Hecke algebras,Left regular bands,Primitive orthogonal idempotents,Representation theory

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