DC Field | Value | Language |
---|---|---|
dc.contributor.author | BUCIUMAS, VALENTIN | - |
dc.contributor.author | KO, HANKYUNG | - |
dc.date.accessioned | 2024-03-04T07:43:27Z | - |
dc.date.available | 2024-03-04T07:43:27Z | - |
dc.date.created | 2024-03-04 | - |
dc.date.issued | 2023-03 | - |
dc.identifier.issn | 1083-4362 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/120747 | - |
dc.description.abstract | We develop a theory of two-parameter quantum polynomial functors. Similar to how (strict) polynomial functors give a new interpretation of polynomial representations of the general linear groups GL(n), the two-parameter polynomial functors give a new interpretation of (polynomial) representations of the quantum symmetric pair (U-Q,q(B)(gl(n)), U-q(gl(n))) which specializes to type AIII/AIV quantum symmetric pairs. The coideal subalgebra U-Q,q(B) (gl(n)) appears in a Schur-Weyl duality with the type B Hecke algebra H-Q,q(B) (d). We endow two-parameter polynomial functors with a cylinder braided structure which we use to construct the two-parameter Schur functors. Our polynomial functors can be precomposed with the quantum polynomial functors of type A producing new examples of action pairs. | - |
dc.language | English | - |
dc.publisher | Birkhaeuser | - |
dc.relation.isPartOf | Transformation Groups | - |
dc.title | POLYNOMIAL FUNCTORS AND TWO-PARAMETER QUANTUM SYMMETRIC PAIRS | - |
dc.type | Article | - |
dc.identifier.doi | 10.1007/s00031-022-09716-w | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Transformation Groups, v.28, no.1, pp.107 - 149 | - |
dc.identifier.wosid | 000777220100004 | - |
dc.citation.endPage | 149 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 107 | - |
dc.citation.title | Transformation Groups | - |
dc.citation.volume | 28 | - |
dc.contributor.affiliatedAuthor | BUCIUMAS, VALENTIN | - |
dc.identifier.scopusid | 2-s2.0-85127447304 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article; Early Access | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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