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 monoids

Authors: Chris Berg ; Nantel Bergeron ORCID-iD; Sandeep Bhargava ; Franco Saliola

    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]
    Fundings :
      Source : OpenAIRE Research Graph
    • Funder: Natural Sciences and Engineering Research Council of Canada

    Share

    Consultation statistics

    This page has been seen 142 times.
    This article's PDF has been downloaded 146 times.