Primitive orthogonal idempotents for R-trivial monoids

Details Primitive orthogonal idempotents for R-trivial monoids Primitive orthogonal idempotents for R-trivial monoids

2010-09-24

arxiv.org/abs/1009.4943v3

Journal of Algebra 348 (2011) 446--461

Mathematics

Representation Theory

Journal of Algebra, 2011

Scientific paper

10.1016/j.jalgebra.2011.10.006

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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