Primitive orthogonal idempotents for R-trivial monoids

Primitive orthogonal idempotents for R-trivial monoids

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.

Bibliographic Details
Main Authors: Chris Berg, Nantel Bergeron, Sandeep Bhargava, Franco Saliola
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2011-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
0-hecke algebras
left regular bands
monoids
primitive orthogonal idempotents
[math.math-co] mathematics [math]/combinatorics [math.co]
[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online Access:https://dmtcs.episciences.org/2896/pdf

Internet

https://dmtcs.episciences.org/2896/pdf

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