Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 오세진 | * |
dc.date.accessioned | 2021-03-01T16:39:27Z | - |
dc.date.available | 2021-03-01T16:39:27Z | - |
dc.date.issued | 2020 | * |
dc.identifier.issn | 0001-8708 | * |
dc.identifier.other | OAK-27855 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/257216 | - |
dc.description.abstract | We construct a (bi)cyclic sieving phenomenon on the union of dominant maximal weights for level ℓ highest weight modules over an affine Kac-Moody algebra with exactly one highest weight being taken for each equivalence class, in a way not depending on types, ranks and levels. In order to do that, we introduce S-evaluation on the set of dominant maximal weights for each highest modules, and generalize Sagan's action in [17] by considering the datum on each affine Kac-Moody algebra. As consequences, we obtain closed and recursive formulae for cardinality of the number of dominant maximal weights for every highest weight module and observe level-rank duality on the cardinalities. © 2020 Elsevier Inc. | * |
dc.language | English | * |
dc.publisher | Academic Press Inc. | * |
dc.subject | Affine Kac-Moody algebra | * |
dc.subject | Cyclic sieving phenomenon | * |
dc.subject | Dominant maximal weight | * |
dc.title | Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras | * |
dc.type | Article | * |
dc.relation.volume | 374 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.journaltitle | Advances in Mathematics | * |
dc.identifier.doi | 10.1016/j.aim.2020.107336 | * |
dc.identifier.wosid | WOS:000577506500010 | * |
dc.identifier.scopusid | 2-s2.0-85089240663 | * |
dc.author.google | Kim Y.-H. | * |
dc.author.google | Oh S.-J. | * |
dc.author.google | Oh Y.-T. | * |
dc.contributor.scopusid | 오세진(55636183200) | * |
dc.date.modifydate | 20240222164805 | * |