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Kostant’s problem for fully commutative permutations

dc.contributor.authorMackaay, Marco
dc.contributor.authorMazorchuk, Volodymyr
dc.contributor.authorMiemietz, Vanessa
dc.date.accessioned2024-04-15T10:48:53Z
dc.date.available2024-04-15T10:48:53Z
dc.date.issued2023
dc.description.abstractWe give a complete combinatorial answer to Kostant's problem for simple highest weight modules indexed by fully commutative permutations. We also propose a reformulation of Kostant's problem in the context of fiab bicategories and classify annihilators of simple objects in the principal birepresentations of such bicategories generalizing the Barbasch-Vogan theorem for Lie algebras.pt_PT
dc.description.sponsorshipEP/S017216/1pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.4171/rmi/1428pt_PT
dc.identifier.issn0213-2230
dc.identifier.urihttp://hdl.handle.net/10400.1/20632
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherEuropean Mathematical Societypt_PT
dc.relationHigher Structures and Applications
dc.relationCenter for Mathematical Analysis, Geometry and Dynamical Systems
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectKostant’s problempt_PT
dc.subjectSimple highest weight modulept_PT
dc.subjectFully commutative permutationpt_PT
dc.subjectAnnihilatorpt_PT
dc.subjectBicategorypt_PT
dc.titleKostant’s problem for fully commutative permutationspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleHigher Structures and Applications
oaire.awardTitleCenter for Mathematical Analysis, Geometry and Dynamical Systems
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-PUR%2F31089%2F2017/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FMAT%2F04459%2F2013/PT
oaire.citation.endPage563pt_PT
oaire.citation.issue2pt_PT
oaire.citation.startPage537pt_PT
oaire.citation.titleRevista Matemática Iberoamericanapt_PT
oaire.citation.volume40pt_PT
oaire.fundingStream3599-PPCDT
oaire.fundingStream6817 - DCRRNI ID
person.familyNameMACKAAIJ
person.givenNameMARCO
person.identifier.ciencia-idF810-F5CB-9F35
person.identifier.orcid0000-0001-9807-6991
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublication62310e63-1319-4bf3-87c8-1f6790d9f190
relation.isAuthorOfPublication.latestForDiscovery62310e63-1319-4bf3-87c8-1f6790d9f190
relation.isProjectOfPublication229dabb8-17af-4c32-a987-fae1a738940a
relation.isProjectOfPublicationab6441e5-1f82-452c-86ad-05969ba843b5
relation.isProjectOfPublication.latestForDiscovery229dabb8-17af-4c32-a987-fae1a738940a

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