Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 오세진 | * |
dc.date.accessioned | 2019-01-24T16:30:08Z | - |
dc.date.available | 2019-01-24T16:30:08Z | - |
dc.date.issued | 2019 | * |
dc.identifier.issn | 0024-6115 | * |
dc.identifier.issn | 1460-244X | * |
dc.identifier.other | OAK-24165 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/248221 | - |
dc.description.abstract | We construct an exact tensor functor from the category A of finite-dimensional graded modules over the quiver Hecke algebra of type A(infinity) to the category L-Bn(1) of finite-dimensional integrable modules over the quantum affine algebra of type B-n((1)). It factors through the category T-2n, which is a localization of A. As a result, this functor induces a ring isomorphism from the Grothendieck ring of T-2n (ignoring the gradings) to the Grothendieck ring of a subcategory L-Bn(1)(0) of L-Bn(1). Moreover, it induces a bijection between the classes of simple objects. Because the category T-2n is related to categories L-A2n-1(t)(0) (t=1,2) of the quantum affine algebras of type A(2n-1)((t)), we obtain an interesting connection between those categories of modules over quantum affine algebras of type A and type B. Namely, for each t=1,2, there exists an isomorphism between the Grothendieck ring of l(A2n-1(t))(0) and the Grothendieck ring of l(Bn(1))(0), which induces a bijection between the classes of simple modules. | * |
dc.language | English | * |
dc.publisher | WILEY | * |
dc.title | Monoidal categories of modules over quantum affine algebras of type A and B | * |
dc.type | Article | * |
dc.relation.issue | 1 | * |
dc.relation.volume | 118 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 43 | * |
dc.relation.lastpage | 77 | * |
dc.relation.journaltitle | PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | * |
dc.identifier.doi | 10.1112/plms.12160 | * |
dc.identifier.wosid | WOS:000454691900002 | * |
dc.identifier.scopusid | 2-s2.0-85059337185 | * |
dc.author.google | Kashiwara, Masaki | * |
dc.author.google | Kim, Myungho | * |
dc.author.google | Oh, Se-jin | * |
dc.contributor.scopusid | 오세진(55636183200) | * |
dc.date.modifydate | 20240222164805 | * |