Chris Berg ; Nantel Bergeron ; Sandeep Bhargava ; Franco Saliola - Primitive orthogonal idempotents for R-trivial monoids

dmtcs:2896 - Discrete Mathematics & Theoretical Computer Science, January 1, 2011, DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011) - https://doi.org/10.46298/dmtcs.2896
Primitive orthogonal idempotents for R-trivial monoidsArticle

Authors: Chris Berg 1,2; Nantel Bergeron ORCID1,2; Sandeep Bhargava 1,2; Franco Saliola 1,2,3

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.


Volume: DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
Section: Proceedings
Published on: January 1, 2011
Imported on: January 31, 2017
Keywords: 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]
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

16 Documents citing this article

Consultation statistics

This page has been seen 204 times.
This article's PDF has been downloaded 220 times.