The Dolbeault complex of a quantized compact Hermitian symmetric space is expressed in terms of the Koszul complex of a braided symmetric algebra of Berenstein and Zwicknagl. This defines a spectral triple quan‐tizing the Dolbeault–Dirac operator associated to the canonical spin c structure.
{"title":"On the Dolbeault–Dirac operator of quantized symmetric spaces","authors":"U. Kraehmer, Matthew Tucker-Simmons","doi":"10.1112/tlms/tlv002","DOIUrl":"https://doi.org/10.1112/tlms/tlv002","url":null,"abstract":"The Dolbeault complex of a quantized compact Hermitian symmetric space is expressed in terms of the Koszul complex of a braided symmetric algebra of Berenstein and Zwicknagl. This defines a spectral triple quan‐tizing the Dolbeault–Dirac operator associated to the canonical spin c structure.","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2013-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1112/tlms/tlv002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"63412807","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Denote by [0,ω1) the locally compact Hausdorff space consisting of all countable ordinals, equipped with the order topology, and let C0[0,ω1) be the Banach space of scalar‐valued, continuous functions which are defined on [0,ω1) and vanish eventually. We show that a weak * ‐compact subset of the dual space of C0[0,ω1) is either uniformly Eberlein compact, or it contains a homeomorphic copy of a particular form of the ordinal interval [0,ω1] .
{"title":"A weak∗‐topological dichotomy with applications in operator theory","authors":"Tomasz Kania, P. Koszmider, N. Laustsen","doi":"10.1112/tlms/tlu001","DOIUrl":"https://doi.org/10.1112/tlms/tlu001","url":null,"abstract":"Denote by [0,ω1) the locally compact Hausdorff space consisting of all countable ordinals, equipped with the order topology, and let C0[0,ω1) be the Banach space of scalar‐valued, continuous functions which are defined on [0,ω1) and vanish eventually. We show that a weak * ‐compact subset of the dual space of C0[0,ω1) is either uniformly Eberlein compact, or it contains a homeomorphic copy of a particular form of the ordinal interval [0,ω1] .","PeriodicalId":41208,"journal":{"name":"Transactions of the London Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2013-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1112/tlms/tlu001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"63412683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：