Primitive orthogonal idempotents for R-trivial monoids
classification
🧮 math.RT
keywords
monoididempotentsorthogonalprimitivetrivialcompleteconstructequivalence
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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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