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Journal of Mathematics of Kyoto University最新文献

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On category $mathcal{O}$ for the rational Cherednik algebra of $G(m,1,n)$: the almost semisimple case 关于有理Cherednik代数$G(m,1,n)$的范畴$mathcal{O}$:几乎半简单情况
Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI: 10.1215/KJM/1250280974
Richard Vale
{"title":"On category $mathcal{O}$ for the rational Cherednik algebra of $G(m,1,n)$: the almost semisimple case","authors":"Richard Vale","doi":"10.1215/KJM/1250280974","DOIUrl":"https://doi.org/10.1215/KJM/1250280974","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"27-47"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088162","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
Energy and Riemannian Flows 能量和黎曼流
Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI: 10.1215/KJM/1250280976
Amine Fawaz
{"title":"Energy and Riemannian Flows","authors":"Amine Fawaz","doi":"10.1215/KJM/1250280976","DOIUrl":"https://doi.org/10.1215/KJM/1250280976","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"73-90"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088187","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: 1
On the groups $[X, Sp(n)]$ with $dim X le 4n+2$ 关于群$[X, Sp(n)]$与$dim X le 4n+2$
Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI: 10.1215/KJM/1250280979
Tomoaki Nagao
{"title":"On the groups $[X, Sp(n)]$ with $dim X le 4n+2$","authors":"Tomoaki Nagao","doi":"10.1215/KJM/1250280979","DOIUrl":"https://doi.org/10.1215/KJM/1250280979","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"149-165"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088276","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: 6
Characteristic cycles of standard modules for the rational Cherednik algebra of type $mathbb{Z}/lmathbb{Z}$ 类型为$mathbb{Z}/lmathbb{Z}$的有理Cherednik代数的标准模的特征环
Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI: 10.1215/KJM/1250280980
T. Kuwabara
{"title":"Characteristic cycles of standard modules for the rational Cherednik algebra of type $mathbb{Z}/lmathbb{Z}$","authors":"T. Kuwabara","doi":"10.1215/KJM/1250280980","DOIUrl":"https://doi.org/10.1215/KJM/1250280980","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"167-217"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1250280980","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088316","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: 2
The Smith sets of finite groups with normal Sylow 2-subgroups and small nilquotients 具有正规Sylow 2-子群和小nil商的有限群的Smith集
Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI: 10.1215/KJM/1250280981
Akihiro Koto, M. Morimoto, Yan Qi
{"title":"The Smith sets of finite groups with normal Sylow 2-subgroups and small nilquotients","authors":"Akihiro Koto, M. Morimoto, Yan Qi","doi":"10.1215/KJM/1250280981","DOIUrl":"https://doi.org/10.1215/KJM/1250280981","url":null,"abstract":"The Smith equivalence of real representations of a finite group has been studied by many mathematicians, e.g. J. Milnor, T. Petrie, S. Cappell-J. Shaneson, K. Pawa(cid:1)lowski-R. Solomon. For a given finite group, let the primary Smith set of the group be the subset of real representation ring consisting of all differences of pairs of prime matched, Smith equivalent representations. The primary Smith set was rarely determined for a nonperfect group G besides the case where the primary Smith set is trivial. In this paper we determine the primary Smith set of an arbitrary Oliver group such that a Sylow 2-subgroup is normal and the nilquotient is isomorphic to the direct product of a finite number of cyclic groups of order 2 or 3. In particular, we answer to a problem posed by T. Sumi. recent Smith our present research. The authors are grateful to him for his informing results. They also thank the referee for his pointing out typographical errors. The second author was partially supported by KAKENHI 18540086.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"219-227"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088327","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: 11
Malliavin calculus on extensions of abstract Wiener spaces 抽象Wiener空间扩展上的Malliavin演算
Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI: 10.1215/KJM/1250271411
Horst Osswald
{"title":"Malliavin calculus on extensions of abstract Wiener spaces","authors":"Horst Osswald","doi":"10.1215/KJM/1250271411","DOIUrl":"https://doi.org/10.1215/KJM/1250271411","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"239-263"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1250271411","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088420","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: 3
On the damped nonlinear Schödinger equation with delta functions as initial data 以δ函数为初始数据的阻尼非线性Schödinger方程
Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI: 10.1215/KJM/1250271416
K. Doi
{"title":"On the damped nonlinear Schödinger equation with delta functions as initial data","authors":"K. Doi","doi":"10.1215/KJM/1250271416","DOIUrl":"https://doi.org/10.1215/KJM/1250271416","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"363-372"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088518","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: 1
Mod $p$ decompositions of non-simply connected Lie groups 非单连通李群的模p分解
Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI: 10.1215/KJM/1250280972
D. Kishimoto, A. Kono
{"title":"Mod $p$ decompositions of non-simply connected Lie groups","authors":"D. Kishimoto, A. Kono","doi":"10.1215/KJM/1250280972","DOIUrl":"https://doi.org/10.1215/KJM/1250280972","url":null,"abstract":"","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"1-5"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1215/KJM/1250280972","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088617","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: 6
The secant varieties of nilpotent orbits 幂零轨道的割线变化
Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI: 10.1215/KJM/1250280975
Yasuhiro Omoda
{"title":"The secant varieties of nilpotent orbits","authors":"Yasuhiro Omoda","doi":"10.1215/KJM/1250280975","DOIUrl":"https://doi.org/10.1215/KJM/1250280975","url":null,"abstract":"Let g be a complex simple Lie algebra. We have the adjoint representation of the adjoint group G on g . Then G acts on the projective space P g . We consider the closure X of the image of a nilpotent orbit in P g . The i -secant variety Sec ( i ) X of a projective variety X is the closure of the union of projective subspaces of dimension i in the ambient space P spanned by i + 1 points on X . In particular we call the 1-secant variety the secant variety. In this paper we give explicit descriptions of the secant and the higher secant varieties of nilpotent orbits of complex classical simple Lie algebras.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"49-71"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66088175","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: 2
A counterexample to a conjecture of complete fan 完全扇形猜想的反例
Journal of Mathematics of Kyoto University Pub Date : 2008-01-01 DOI: 10.1215/KJM/1250271324
Kenta Watanabe
{"title":"A counterexample to a conjecture of complete fan","authors":"Kenta Watanabe","doi":"10.1215/KJM/1250271324","DOIUrl":"https://doi.org/10.1215/KJM/1250271324","url":null,"abstract":"If a GriMths domain D is a symmetric Hermitian domain, the toroidal compactification of the quotient space rXD, associated to a projective fan and a discrete subgroup F of Aut(D), was constructed by Mumford et al. Kazuya Kato and Sampei Usui studied extensions of rXD for a GriMths domain D in general, and introduced a notion of \"complete fan\" as a generalization of a notion of projective fan. The existence of complete fans is expected. In this paper, we give an example of D which has no complete fan.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"951-962"},"PeriodicalIF":0.0,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087954","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: 3
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