The representation theory of seam algebras
dc.contributor.author | Langlois-Rémillard, Alexis | |
dc.contributor.author | Saint-Aubin, Yvan | |
dc.date.accessioned | 2021-05-21T13:51:42Z | |
dc.date.available | NO_RESTRICTION | fr |
dc.date.available | 2021-05-21T13:51:42Z | |
dc.date.issued | 2020 | |
dc.identifier.uri | http://hdl.handle.net/1866/25034 | |
dc.publisher | SciPost | fr |
dc.title | The representation theory of seam algebras | fr |
dc.type | Article | fr |
dc.contributor.affiliation | Université de Montréal. Faculté des arts et des sciences. Département de mathématiques et de statistique | fr |
dc.identifier.doi | 10.21468/SciPostPhys.8.2.019 | |
dcterms.abstract | The boundary seam algebras \(b_{n,k} (\beta = q + q^{-1})\) were introduced by Morin-Duchesne, Ridout and Rasmussen to formulate algebraically a large class of boundary conditions for two-dimensional statistical loop models. The representation theory of these algebras \(b_{n,k} (\beta = q + q^{-1})\) is given: their irreducible, standard (cellular) and principal modules are constructed and their structure explicited in terms of their composition factors and of non-split short exact sequences. The dimensions of the irreducible modules and of the radicals of standard ones are also given. The methods proposed here might be applicable to a large family of algebras, for example to those introduced recently by Flores and Peltola, and Crampé and Poulain d’Andecy. | fr |
dcterms.isPartOf | urn:ISSN:2542-4653 | fr |
dcterms.language | eng | fr |
UdeM.ReferenceFournieParDeposant | Alexis Langlois-Rémillard, Yvan Saint-Aubin, The representation theory of seam algebras, SciPost Phys., 8, 019 (2020). | fr |
UdeM.VersionRioxx | Version originale de l'auteur·e / Author's Original | fr |
oaire.citationTitle | SciPost physics | fr |
oaire.citationVolume | 8 | fr |
oaire.citationIssue | 2 | fr |
Files in this item
This item appears in the following Collection(s)
This document disseminated on Papyrus is the exclusive property of the copyright holders and is protected by the Copyright Act (R.S.C. 1985, c. C-42). It may be used for fair dealing and non-commercial purposes, for private study or research, criticism and review as provided by law. For any other use, written authorization from the copyright holders is required.