30 citations · 30 across the 2 of their papers we have counts for
2 papers
math.CO2015
Enumeration of idempotents in planar diagram monoids
Igor Dolinka, James East, Athanasios Evangelou +5
We classify and enumerate the idempotents in several planar diagram monoids: namely, the Motzkin, Jones (a.k.a. Temperley-Lieb) and Kauffman monoids. The classification is in terms…
math.GR2014★ 30 cited
Enumeration of idempotents in diagram semigroups and algebras
Igor Dolinka, James East, Athanasios Evangelou +4
We give a characterisation of the idempotents of the partition monoid, and use this to enumerate the idempotents in the finite partition, Brauer and partial Brauer monoids, giving…