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 1,2; Nantel Bergeron ORCID-iD1,2; Sandeep Bhargava 1,2; Franco Saliola 1,2,3

  • 1 Fields Institute for Research In Mathematical Sciences
  • 2 York University [Toronto]
  • 3 Laboratoire de combinatoire et d'informatique mathématique [Montréal]

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.

https://doi.org/10.46298/dmtcs.2896
Source: HAL:hal-01215086v1
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

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Source : ScholeXplorer IsRelatedTo ARXIV 1505.05973
Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1505.05973
  • 1505.05973
  • 10.48550/arxiv.1505.05973
Primitive orthogonal idempotents of Brandt semigroup algebras

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