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The Planar Modular Partition Monoid [thesis]

✍ Scribed by Nicholas Ham


Publisher
UTas eprints
Year
2015
Tongue
English
Leaves
235
Category
Library

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πŸ“œ SIMILAR VOLUMES


Enumeration of idempotents in planar dia
✍ Igor Dolinka, James East, Des FitzGerald, Nicholas Ham, James Hyded, Nicholas Lo πŸ“‚ Library πŸ“… 2019 πŸ› Journal of Algebra 🌐 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