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The Planar Rook Monoid

โœ Scribed by Kathryn E. Herbig


Year
2013
Tongue
English
Leaves
55
Series
Honors project at Macalester College
Edition
version 6 Feb 2013
Category
Library

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๐Ÿ“œ SIMILAR VOLUMES


Enumeration of idempotents in planar dia
โœ Igor Dolinka, James East, Des FitzGerald, Nicholas Ham, James Hyded, Nicholas Lo ๐Ÿ“‚ Library ๐Ÿ“… 2019 ๐Ÿ› Journal of Algebra ๐ŸŒ English

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