The Planar Rook Monoid
β Kathryn E. Herbig
π Library
π
2013
π English
β Scribed by Nicholas Ham
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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 of certain vertex- and edge-coloured graphs associated to Motzkin diagrams. The enumeration is necessarily algorithmic