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https://open.uns.ac.rs/handle/123456789/30358
Title: | Enumeration of idempotents in diagram semigroups and algebras | Authors: | Dolinka Igor East James Evangelou Athanasios FitzGerald Des Ham Nicholas Hyde James Loughlin Nicholas |
Issue Date: | 2015 | Journal: | Journal of Combinatorial Theory. Series A | Abstract: | © 2014 Elsevier Inc. 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 several formulae and recursions for the number of idempotents in each monoid as well as various R-, L- and D-classes. We also apply our results to determine the number of idempotent basis elements in the finite dimensional partition, Brauer and partial Brauer algebras. | URI: | https://open.uns.ac.rs/handle/123456789/30358 | ISSN: | 0097-3165 | DOI: | 10.1016/j.jcta.2014.11.008 |
Appears in Collections: | PMF Publikacije/Publications |
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