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Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial最新文献

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Groupes simples résiduellement déployés surun corps local 简单组剩余部署在一个局部主体上
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/iig.2018.16.209
F. Bruhat, J. Tits
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引用次数: 4
Isotropie des espaces de Klein 克莱因空间的各向同性
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/IIG.2018.16.67
J. Tits
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引用次数: 0
BN-paires de type affine et donnéesradicielles bn -仿射型对和放射性数据
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/IIG.2018.16.203
F. Bruhat, J. Tits
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引用次数: 4
Espaces et nombres 空格和数字
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/IIG.2018.16.287
J. Tits
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引用次数: 0
Les groupes projectifs : évolution etgénéralisations 焦点小组:演变和概括
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/IIG.2018.16.21
J. Tits
{"title":"Les groupes projectifs : évolution et\u0000généralisations","authors":"J. Tits","doi":"10.2140/IIG.2018.16.21","DOIUrl":"https://doi.org/10.2140/IIG.2018.16.21","url":null,"abstract":"","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"131 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133225615","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}
引用次数: 0
Homomorphismes et automorphismes “abstraits”de groupes algébriques et arithmétiques 代数和算术群的“抽象”同态和自同态
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/IIG.2018.16.235
J. Tits
{"title":"Homomorphismes et automorphismes “abstraits”\u0000de groupes algébriques et arithmétiques","authors":"J. Tits","doi":"10.2140/IIG.2018.16.235","DOIUrl":"https://doi.org/10.2140/IIG.2018.16.235","url":null,"abstract":"L'auteur fait le point (en 1970) des connaissances relatives aux homomorphismes et automorphismes des groupes classiques. Il pose le probleme sous une forme tres generale: on a deux corps commutatifs K,K′, un schema en groupes KG[K′G′] sur K[K′], un sous-groupe H[H′] du groupe des points de KG[K′G′] rationnels sur K[K′]. L'auteur decrit d'abord un type d'homomorphisme α:H→H′ qu'il appelle semi-algebrique. On le definit en considerant d'une part un homomorphisme de corps σ:K→K′; si KσG est le schema en groupes sur K′ deduit de KG par le changement de base σ, on a un homomorphisme canonique σ∗ du g certaines conditions, est tel que β(h)=α(h)χ(h), ou α est semi-algebrique et χ un homomorphisme de H dans le centre de H′. Il ne faut s'attendre a une reponse raisonnable que lorsque KG et K′G′ sont des schemas en groupes semi-simples, comme le montrent des exemples pathologiques donnes par l'auteur a la fin de son expose.Les exemples enumeres par l'auteur ou le probleme precedent a une reponse affirmative sont d'une part ceux examines par O'Meara et son ecole par la methode de caracterisation des rotations planes, developpee par O'Meara depuis 1966; d'autre part, ceux qui font l'object des travaux de A. Borel et de l'auteur. Ces derniers s'appliquent a tous les groupes algebriques absolument presque simples (classiques ou \"exceptionnels'') pourvuqu'ils soient \"isotropes''; par contre cette condition n'intervient pas dans la methode de O'Meara, mais cette derniere est limitee aux groupes classiques.","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"06 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129694297","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}
引用次数: 5
Notions de géométrie algébrique
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/IIG.2018.16.301
J. Tits, Franz Bingen
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引用次数: 0
Groupes triplement transitifs etgénéralisations 三传递组和概括
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/IIG.2018.16.9
J. Tits
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引用次数: 3
On “abstract” homomorphisms of simplealgebraic groups 关于单代数群的“抽象”同态
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/IIG.2018.16.225
J. Tits, A. Borel, S. Abhyankar
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引用次数: 2
Simple groups over local fields 本地字段上的简单组
Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial Pub Date : 2018-12-31 DOI: 10.2140/IIG.2018.16.159
J. Tits
{"title":"Simple groups over local fields","authors":"J. Tits","doi":"10.2140/IIG.2018.16.159","DOIUrl":"https://doi.org/10.2140/IIG.2018.16.159","url":null,"abstract":"","PeriodicalId":127937,"journal":{"name":"Innovations in Incidence Geometry: Algebraic, Topological and Combinatorial","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115800503","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}
引用次数: 0
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