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Foulkes characters, Eulerian idempotents, and an amazing matrix
Foulkes character Carry Eulerian idempotent Symmetric group
2015/7/7
Foulkes characters, Eulerian idempotents, and an amazing matrix。
A Characterization of Cellular Automata Generated by Idempotents on the Full Shift
cellular automata marker lemma products of idempotents decidability
2012/6/19
In this article, we discuss the family of cellular automata generated by so-called idempotent cellular automata (CA G such that G^2 = G) on the full shift. We prove a characterization of products of i...
Primitive orthogonal idempotents for R-trivial monoids
orthogonal idempotents R-trivial monoids
2010/12/13
We show that the notions of R-trivial monoid and weakly ordered monoid are equivalent. We use this fact to construct a complete system of orthogonal idempotents for all R-trivial monoids.
Idempotents in representation rings of quivers
Idempotents representation rings of quivers
2010/11/26
For an acyclic quiver Q, we solve the Clebsch-Gordan problem for the projective representations by computing the mul-tiplicity of a given indecomposable projective in the tensor product of two indecom...
Skew Pairs of Idempotents in Transformation Semigroups
full transformation semigroups idempotents skew pairs
2007/12/11
An ordered pair $(e,f)$ of idempotents of a regular semigroup is called a {\it skew pair} if $ef$ is not idempotent whereas $fe$ is idempotent. We have shown previously that there are four distinct ty...