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https://open.uns.ac.rs/handle/123456789/30358
Nаziv: | Enumeration of idempotents in diagram semigroups and algebras | Аutоri: | Dolinka Igor East James Evangelou Athanasios FitzGerald Des Ham Nicholas Hyde James Loughlin Nicholas |
Dаtum izdаvаnjа: | 2015 | Čаsоpis: | Journal of Combinatorial Theory. Series A | Sažetak: | © 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 |
Nаlаzi sе u kоlеkciјаmа: | PMF Publikacije/Publications |
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