Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 오세진 | * |
dc.date.accessioned | 2018-12-20T16:30:11Z | - |
dc.date.available | 2018-12-20T16:30:11Z | - |
dc.date.issued | 2018 | * |
dc.identifier.issn | 0001-8708 | * |
dc.identifier.other | OAK-22242 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/247914 | - |
dc.description.abstract | We construct a monoidal category Cw,v which categorifies the doubly-invariant algebra CN′(w)[N]N(v) associated with Weyl group elements w and v. It gives, after a localization, the coordinate algebra C[Rw,v] of the open Richardson variety associated with w and v. The category Cw,v is realized as a subcategory of the graded module category of a quiver Hecke algebra R. When v=id, Cw,v is the same as the monoidal category which provides a monoidal categorification of the quantum unipotent coordinate algebra Aq(n(w))Z[q,q−1] given by Kang–Kashiwara–Kim–Oh. We show that the category Cw,v contains special determinantial modules M(w≤kΛ,v≤kΛ) for k=1,…,ℓ(w), which commute with each other. When the quiver Hecke algebra R is symmetric, we find a formula of the degree of R-matrices between the determinantial modules M(w≤kΛ,v≤kΛ). When it is of finite ADE type, we further prove that there is an equivalence of categories between Cw,v and Cu for w,u,v∈W with w=vu and ℓ(w)=ℓ(v)+ℓ(u). © 2018 Elsevier Inc. | * |
dc.language | English | * |
dc.publisher | Academic Press Inc. | * |
dc.subject | Categorification | * |
dc.subject | Monoidal category | * |
dc.subject | Quantum cluster algebra | * |
dc.subject | Quiver Hecke algebra | * |
dc.subject | Richardson variety | * |
dc.title | Monoidal categories associated with strata of flag manifolds | * |
dc.type | Article | * |
dc.relation.volume | 328 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 959 | * |
dc.relation.lastpage | 1009 | * |
dc.relation.journaltitle | Advances in Mathematics | * |
dc.identifier.doi | 10.1016/j.aim.2018.02.013 | * |
dc.identifier.wosid | WOS:000432905300026 | * |
dc.identifier.scopusid | 2-s2.0-85044083883 | * |
dc.author.google | Kashiwara M. | * |
dc.author.google | Kim M. | * |
dc.author.google | Oh S.-J. | * |
dc.author.google | Park E. | * |
dc.contributor.scopusid | 오세진(55636183200) | * |
dc.date.modifydate | 20240222164805 | * |