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Primitive orthogonal idempotents for R-trivial monoids

Published 24 Sep 2010 in math.RT | (1009.4943v3)

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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