发布求助
文献互助 智能选刊 最新文献

Bulletin of the Institute of Mathematics Academia Sinica New Series最新文献

筛选
英文 中文
A Survey: Bob Griess's Work on Simple Groups and Their Classification Bob Griess关于简单群及其分类的研究综述
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2018-12-01 DOI: 10.21915/bimas.2018401
Stephen D. Smith
{"title":"A Survey: Bob Griess's Work on Simple Groups and Their Classification","authors":"Stephen D. Smith","doi":"10.21915/bimas.2018401","DOIUrl":"https://doi.org/10.21915/bimas.2018401","url":null,"abstract":"This is a brief survey of the research accomplishments of Bob Griess, focusing on the work primarily related to simple groups and their classification. It does not attempt to also cover Bob’s many contributions to the theory of vertex operator algebras. (This is only because I am unqualified to survey that VOA material.) For background references on simple groups and their classification, I’ll mainly use the “outline” book [1] Over half of Bob Griess’s 85 papers on MathSciNet are more or less directly concerned with simple groups. Obviously I can only briefly describe the contents of so much work. (And I have left his work on vertex algebras etc to articles in this volume by more expert authors.) Background: Quasisimple components and the list of simple groups We first review some standard material from the early part of [1, Sec 0.3]. (More experienced readers can skip ahead to the subsequent subsection on the list of simple groups.) Received September 12, 2016. AMS Subject Classification: 20D05, 20D06, 20D08, 20E32, 20E42, 20J06.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"30 8 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74037765","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
Quantizations of Regular Functions on Nilpotent Orbits 幂零轨道上正则函数的量化
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2018-06-01 DOI: 10.21915/BIMAS.2018202
Ivan Loseu
{"title":"Quantizations of Regular Functions on Nilpotent Orbits","authors":"Ivan Loseu","doi":"10.21915/BIMAS.2018202","DOIUrl":"https://doi.org/10.21915/BIMAS.2018202","url":null,"abstract":"We study the quantizations of the algebras of regular functions on nilpo- tent orbits. We show that such a quantization always exists and is unique if the orbit is birationally rigid. Further we show that, for special birationally rigid orbits, the quan- tization has integral central character in all cases but four (one orbit in E7 and three orbits in E8). We use this to complete the computation of Goldie ranks for primitive ideals with integral central character for all special nilpotent orbits but one (in E8). Our main ingredient are results on the geometry of normalizations of the closures of nilpotent orbits by Fu and Namikawa.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75492357","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
Conjugacy Classes in Reductive Groups and Two-sided Cells 约化群与双面胞的共轭类
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2017-06-07 DOI: 10.21915/bimas.2019301
G. Lusztig
{"title":"Conjugacy Classes in Reductive Groups and Two-sided Cells","authors":"G. Lusztig","doi":"10.21915/bimas.2019301","DOIUrl":"https://doi.org/10.21915/bimas.2019301","url":null,"abstract":"Let G' be a connected reductive group over the complex numbers. We show that the set of conjugacy classes of G' is in natural bijection with the set of two-sided cells associated to a certain algebra.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"98 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2017-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81176864","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
The Smith group and the critical group of the Grassmann graph of lines in finite projective space and of its complement 有限射影空间中直线及其补的Grassmann图的Smith群和临界群
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2017-06-05 DOI: 10.21915/BIMAS.2018404
Joshua E. Ducey, Peter Sin
{"title":"The Smith group and the critical group of the Grassmann graph of lines in finite projective space and of its complement","authors":"Joshua E. Ducey, Peter Sin","doi":"10.21915/BIMAS.2018404","DOIUrl":"https://doi.org/10.21915/BIMAS.2018404","url":null,"abstract":"We compute the elementary divisors of the adjacency and Laplacian matrices of the Grassmann graph on $2$-dimensional subspaces in a finite vector space. We also compute the corresponding invariants of the complementary graphs.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"32 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2017-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73749412","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
A Brief History of the Positivity Conjecture in Tensor Category 张量范畴的正性猜想简史
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2017-03-27 DOI: 10.21915/bimas.2019202
G. Mason
{"title":"A Brief History of the Positivity Conjecture in Tensor Category","authors":"G. Mason","doi":"10.21915/bimas.2019202","DOIUrl":"https://doi.org/10.21915/bimas.2019202","url":null,"abstract":"We show the existence of a finite group $G$ having an irreducible character $chi$ with Frobenius-Schur indicator $nu_2(chi){=}{+}1$ such that $chi^2$ has an irreducible constituent $varphi$ with $nu_2(varphi){=}{-}1$. This provides counterexamples to the positivity conjecture in rational CFT and a conjecture of Zhenghan Wang about pivotal fusion categories.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"16 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2017-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89714000","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
Generalized twisted quantum doubles of a finite group and rational orbifolds 有限群和有理轨道的广义扭曲量子双重
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2017-03-19 DOI: 10.21915/bimas.2019101
G. Mason, S. Ng
{"title":"Generalized twisted quantum doubles of a finite group and rational orbifolds","authors":"G. Mason, S. Ng","doi":"10.21915/bimas.2019101","DOIUrl":"https://doi.org/10.21915/bimas.2019101","url":null,"abstract":"In previous work the authors introduced a new class of modular quasi-Hopf algebras $D^{omega}(G, A)$ associated to a finite group $G$, a central subgroup $A$, and a $3$-cocycle $omegain Z^3(G, C^x)$. In the present paper we propose a description of the class of orbifold models of rational vertex operator algebras whose module category is tensor equivalent to $D^{omega}(G, A)$-mod. The paper includes background on quasi-Hopf algebras and a discussion of some relevant orbifolds.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"6 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2017-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87488899","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
Level-Rank Duality for Vertex Operator Algebras of types B and D B和D型顶点算子代数的水平-秩对偶性
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2017-03-15 DOI: 10.21915/BIMAS.2019103
Cuipo Jiang, C. Lam
{"title":"Level-Rank Duality for Vertex Operator Algebras of types B and D","authors":"Cuipo Jiang, C. Lam","doi":"10.21915/BIMAS.2019103","DOIUrl":"https://doi.org/10.21915/BIMAS.2019103","url":null,"abstract":"For the simple Lie algebra $ frak{so}_m$, we study the commutant vertex operator algebra of $ L_{widehat{frak{so}}_{m}}(n,0)$ in the $n$-fold tensor product $ L_{widehat{frak{so}}_{m}}(1,0)^{otimes n}$. It turns out that this commutant vertex operator algebra can be realized as a fixed point subalgebra of $L_{widehat{frak{so}}_{n}}(m,0)$ (or its simple current extension) associated with a certain abelian group. This result may be viewed as a version of level-rank duality.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"38 11 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2017-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82821922","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: 9
Irreducible Local Systems on Nilpotent Orbits 幂零轨道上的不可约局部系统
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2016-10-24 DOI: 10.21915/BIMAS.2018302
E. Sommers
{"title":"Irreducible Local Systems on Nilpotent Orbits","authors":"E. Sommers","doi":"10.21915/BIMAS.2018302","DOIUrl":"https://doi.org/10.21915/BIMAS.2018302","url":null,"abstract":"Let $G$ be a simple, simply-connected algebraic group over the complex numbers with Lie algebra $mathfrak g$. The main result of this article is a proof that each irreducible representation of the fundamental group of the orbit $mathcal O$ through a nilpotent element $e in mathfrak g$ lifts to a representation of a Jacobson-Morozov parabolic subgroup of $G$ associated to $e$. This result was shown in some cases by Barbasch and Vogan in their study of unipotent representations for complex groups and, in general, in an unpublished part of the author's doctoral thesis. In the last section of the article, we state two applications of this result, whose details will appear elsewhere: to answering a question of Lusztig regarding special pieces in the exceptional groups (joint work with Fu, Juteau, and Levy); and to computing the $G$-module structure of the sections of an irreducible local system on $mathcal O$. A key aspect of the latter application is some new cohomological statements that generalize those in earlier work of the author.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"21 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2016-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82014073","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
3-dimensional Griess Algebras and Miyamoto Involutions 三维Griess代数与宫本对合
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2016-04-15 DOI: 10.21915/bimas.2019201
C. Lam, H. Yamauchi
{"title":"3-dimensional Griess Algebras and Miyamoto Involutions","authors":"C. Lam, H. Yamauchi","doi":"10.21915/bimas.2019201","DOIUrl":"https://doi.org/10.21915/bimas.2019201","url":null,"abstract":"We consider a series of VOAs generated by 3-dimensional Griess algebras. We will show that these VOAs can be characterized by their 3-dimensional Griess algebras and their structures are uniquely determined. As an application, we will determine the groups generated by the Miyamoto involutions associated to Virasoro vectors of our VOAs.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"80 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2016-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73666839","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 Sylow Subgroups of a Finite Reductive Group 有限约化群的Sylow子群
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2016-02-03 DOI: 10.21915/BIMAS.2018203
Michel Enguehard, J. Michel
{"title":"The Sylow Subgroups of a Finite Reductive Group","authors":"Michel Enguehard, J. Michel","doi":"10.21915/BIMAS.2018203","DOIUrl":"https://doi.org/10.21915/BIMAS.2018203","url":null,"abstract":"We describe the structure of Sylow {ell}-subgroups of a finite reduc-tive group G(Fq) when q $notequiv$ 0 (mod {ell}) that we find governed by a complex reflection group attached to G and {ell}, which depends on {ell} only through the set of cyclotomic factors of the generic order of G(Fq) whose value at q is divisible by {ell}. We also tackle the more general case G F where F is an isogeny whose a power is a Frobenius morphism.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"16 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2016-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87653277","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: 12
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信