Inna Capdeboscq, D. Gorenstein, R. Lyons, R. Solomon
{"title":"The Classification of the Finite Simple Groups, Number 10","authors":"Inna Capdeboscq, D. Gorenstein, R. Lyons, R. Solomon","doi":"10.1090/surv/040.10","DOIUrl":"https://doi.org/10.1090/surv/040.10","url":null,"abstract":"","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139323096","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}
{"title":"Iwasawa Theory and Its Perspective, Volume 1","authors":"T. Ochiai","doi":"10.1090/surv/272","DOIUrl":"https://doi.org/10.1090/surv/272","url":null,"abstract":"","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130878527","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}
{"title":"Categories and Representation Theory","authors":"H. Asashiba","doi":"10.1090/surv/271","DOIUrl":"https://doi.org/10.1090/surv/271","url":null,"abstract":"","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122953405","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}
{"title":"Quiver representations and quantum groups","authors":"","doi":"10.1090/surv/258/10","DOIUrl":"https://doi.org/10.1090/surv/258/10","url":null,"abstract":"","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128948711","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}
{"title":"The geometric Satake equivalence","authors":"S. Riche, →. DbMod","doi":"10.1090/surv/258/09","DOIUrl":"https://doi.org/10.1090/surv/258/09","url":null,"abstract":"2.1. Affine Grassmannians O = C[[$]] K = C(($)) H complex algebraic group HO = C-group scheme which represents the functor R 7→ H(C[[$]]) ( = L+H in Timo’s lecture). HK = C-group scheme which represents the functor R 7→ H(C(($))) ( = LH in Timo’s lecture). From now on G is a complex connected reductive algebraic group B is a Borel subgroup T maximal torus B− is the opposite Borel subgroup N = unipotent radical of B $Nˆ= $ unipotent radical of B− W Weyl group of (G,T ) X∨ = X?(T ) cocharacter of T simple coroots = ∆s = ∆s (G,B, T ) ⊂ positive roots = ∆+ = ∆+(G,B, T ) ⊂ ∆∨ = ∆∨(G,T ) coroots of (G,T ) X+ : dominant characters Same for X ⊃ ∆ ⊃ ∆+ ⊃ ∆s Dominance order on X∨. λ, μ ∈ X∨. λ ≤ μ⇔ λ− μ ∈ Z≥0∆+. ρ = halfsum of positive roots (〈ρ,−〉 : X∨ → 1 2Z)","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"113 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121184837","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}
{"title":"Calculations on ℂⁿ","authors":"","doi":"10.1090/surv/258/12","DOIUrl":"https://doi.org/10.1090/surv/258/12","url":null,"abstract":"","PeriodicalId":311524,"journal":{"name":"Mathematical Surveys and Monographs","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122350636","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}
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