Journal of Mathematics of Kyoto University最新文献_第4页

Composition factors of polynomial representation of DAHA and q-decomposition numbers 组成因子的多项式表示的DAHA和q分解数

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1260975035

Naoya Enomoto

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引用次数: 9

A note on strong unique continuation for normal elliptic systems with Gevrey coefficients 具有geevrey系数的正规椭圆系统的强唯一延拓的注记

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1260975040

M. Tamura

引用次数: 1

$p$-compact groups as subgroups of maximal rank of Kac-Moody groups $p$-紧群作为Kac-Moody群的极大秩子群

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1248983031

J. Bover

{"title":"$p$-compact groups as subgroups of maximal rank of Kac-Moody groups","authors":"J. Bover","doi":"10.1215/KJM/1248983031","DOIUrl":"https://doi.org/10.1215/KJM/1248983031","url":null,"abstract":"In [28], Kitchloo constructed a map f : BX → BK∧ p where K is a certain KacMoody group of rank two, X is a rank two mod p finite loop space and f is such that it induces an isomorphism between even dimensional mod p cohomology groups. Here B denotes the classifying space functor and (−)p denotes the Bousfield-Kan Fp-completion functor ([8]). This space X —or rather the triple (X∧ p , BX ∧ p , e) where e : X ' ΩBX— is a particular example of what is known as a p-compact group. These objects were introduced by Dwyer and Wilkerson in [15] as the homotopy theoretical framework to study finite loop spaces and compact Lie groups from a homotopy point of view. The foundational paper [15] together with its many sequels by Dwyer-Wilkerson and other authors represent now an active, well established research area which contains some of the most important recent advances in homotopy theory. While p-compact groups are nowadays reasonably well understood objects, our understanding of Kac-Moody groups and their classifying spaces from a homotopy point of view is far from satisfactory. The work of Kitchloo in [28] started a project which has also involved Broto, Saumell, Ruiz and the present author and has produced a series of results ([2], [3], [10]) which show interesting similarities between this theory and the theory of p-compact groups, as well as non trivial challenging differences. The goal of this paper is to extend the construction of Kitchloo that we have recalled above to produce rank-preserving maps BX → BK∧ p for a wide family of p-compact groups X. These maps can be understood as the homotopy analogues to monomorphisms, in a sense that will be made precise in section 13. We prove:","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"49 1","pages":"83-112"},"PeriodicalIF":0.0,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66087215","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

Some results on local cohomology modules defined by a pair of ideals 由一对理想定义的局部上同模的一些结果

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1248983036

L. Chu, Qing Wang

引用次数: 39

Free-fall and heteroclinic orbits to triple collisions in the isosceles three-body problem 等腰三体问题中三重碰撞的自由落体和异斜轨道

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1265899480

M. Shibayama

引用次数: 2

Sur le Cortex d'un groupe de Lie nilpotent 在一个强大的李群的皮层上

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1248983034

Imed Kédim, Megdiche Hatem

引用次数: 2

Central Limit Theorem for Linear Stochastic Evolutions 线性随机演化的中心极限定理

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1248983037

M. Nakashima

引用次数: 11

Gabor multipliers for weighted Banach spaces on locally compact abelian groups 局部紧阿贝尔群上加权Banach空间的Gabor乘子

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1256219154

S. S. Pandey

引用次数: 0

On the critical values of $L$-functions of tensor product of base change for Hilbert modular forms Hilbert模形式下基变化张量积的L -函数的临界值

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1256219161

Cristian Virdol

引用次数: 5

The rationality problem for four-dimensional linear actions 四维线性动作的合理性问题

Journal of Mathematics of Kyoto University Pub Date : 2009-01-01 DOI: 10.1215/KJM/1256219162

H. Kitayama, A. Yamasaki

引用次数: 4