Valeria Banica, K. Hirachi, Honda, Ko, Osamu Iyama, K. Kedlaya, Akhil Mathew, Emmanuel Russ, Sho Tanimoto, Jerry L Bona, Kenji Fukaya, Shigeyuki Kondo, Ruochuan Liu, Linquan Ma, S. Mori, Shigeru Mukai, Junjiro Noguchi, Toshiaki Shoji, Akio Tamagawa, Yukinobu Toda
. We establish explicit isomorphisms of two seemingly-different algebras, and their Schur algebras, arising from the centralizers of two different type B Weyl group actions in Schur-like dualities. We provide a presentation of the geometric counterpart of the above Schur algebras in [1] specialized at q = 1.
{"title":"NMJ volume 251 Cover and Front matter","authors":"Valeria Banica, K. Hirachi, Honda, Ko, Osamu Iyama, K. Kedlaya, Akhil Mathew, Emmanuel Russ, Sho Tanimoto, Jerry L Bona, Kenji Fukaya, Shigeyuki Kondo, Ruochuan Liu, Linquan Ma, S. Mori, Shigeru Mukai, Junjiro Noguchi, Toshiaki Shoji, Akio Tamagawa, Yukinobu Toda","doi":"10.1017/nmj.2023.1","DOIUrl":"https://doi.org/10.1017/nmj.2023.1","url":null,"abstract":". We establish explicit isomorphisms of two seemingly-different algebras, and their Schur algebras, arising from the centralizers of two different type B Weyl group actions in Schur-like dualities. We provide a presentation of the geometric counterpart of the above Schur algebras in [1] specialized at q = 1.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46731351","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"NMJ volume 249 Cover and Back matter","authors":"","doi":"10.1017/nmj.2023.2","DOIUrl":"https://doi.org/10.1017/nmj.2023.2","url":null,"abstract":"","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42877620","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract Since the celebrated work by Cartan, distributions with small growth vector $(2,3,5)$ have been studied extensively. In the holomorphic setting, there is a natural correspondence between holomorphic $(2,3,5)$ -distributions and nondegenerate lines on holomorphic contact manifolds of dimension 5. We generalize this correspondence to higher dimensions by studying nondegenerate lines on holomorphic contact manifolds and the corresponding class of distributions of small growth vector $(2m, 3m, 3m+2)$ for any positive integer m.
{"title":"LINES ON HOLOMORPHIC CONTACT MANIFOLDS AND A GENERALIZATION OF \u0000$(2,3,5)$\u0000 -DISTRIBUTIONS TO HIGHER DIMENSIONS","authors":"Jun-Muk Hwang, Qifeng Li","doi":"10.1017/nmj.2023.3","DOIUrl":"https://doi.org/10.1017/nmj.2023.3","url":null,"abstract":"Abstract Since the celebrated work by Cartan, distributions with small growth vector \u0000$(2,3,5)$\u0000 have been studied extensively. In the holomorphic setting, there is a natural correspondence between holomorphic \u0000$(2,3,5)$\u0000 -distributions and nondegenerate lines on holomorphic contact manifolds of dimension 5. We generalize this correspondence to higher dimensions by studying nondegenerate lines on holomorphic contact manifolds and the corresponding class of distributions of small growth vector \u0000$(2m, 3m, 3m+2)$\u0000 for any positive integer m.","PeriodicalId":49785,"journal":{"name":"Nagoya Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46568727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}