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Primitive orthogonal idempotents for R-trivial monoids

Abstract : 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.
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Chris Berg, Nantel Bergeron, Sandeep Bhargava, Franco Saliola. Primitive orthogonal idempotents for R-trivial monoids. 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011), 2011, Reykjavik, Iceland. pp.123-134, ⟨10.46298/dmtcs.2896⟩. ⟨hal-01215086⟩

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