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
Asymptotics of torus equivariant Szegö kernel on a compact CR manifold 紧CR流形上环面等变Szegö核的渐近性
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2019-09-01 DOI: 10.21915/bimas.2019303
Wei-Chuan Shen
{"title":"Asymptotics of torus equivariant Szegö kernel on a compact CR manifold","authors":"Wei-Chuan Shen","doi":"10.21915/bimas.2019303","DOIUrl":"https://doi.org/10.21915/bimas.2019303","url":null,"abstract":"For a compact CR manifold $(X,T^{1,0}X)$ of dimension $2n+1$, $ngeq 2$, admitting a $S^1times T^d$ action, if the lattice point $(-p_1,cdots,-p_d)inmathbb{Z}^{d}$ is a regular value of the associate CR moment map $mu$, then we establish the asymptotic expansion of the torus equivariant Szegő kernel $Pi^{(0)}_{m,mp_1,cdots,mp_d}(x,y)$ as $mto +infty$ under certain assumptions of the positivity of Levi form and the torus action on $Y:=mu^{-1}(-p_1,cdots,-p_d)$.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"27 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73124356","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: 4
Transposition Algebras 换位代数
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2019-06-01 DOI: 10.21915/bimas.2019203
J. Hall
{"title":"Transposition Algebras","authors":"J. Hall","doi":"10.21915/bimas.2019203","DOIUrl":"https://doi.org/10.21915/bimas.2019203","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"84 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2019-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73087075","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
Total Positivity in Reductive Groups, II 约化群的总正性，2
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2019-04-15 DOI: 10.21915/bimas.2019402
G. Lusztig
{"title":"Total Positivity in Reductive Groups, II","authors":"G. Lusztig","doi":"10.21915/bimas.2019402","DOIUrl":"https://doi.org/10.21915/bimas.2019402","url":null,"abstract":"0.1. The theory of totally positive real matrices (see [P11]) has been developed in the 1930’s by I.Schoenberg and independently by F.Gantmacher and M.Krein after earlier contributions by M.Fekete and G.Polya (1912) and with later contributions by A.Whitney and C.Loewner (1950’s). In [L94] I extended a part of this theory by replacing the group SLn(R) by an arbitrary split semisimple real Lie group G. This paper is a continuation of [L94].","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"51 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84806481","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: 15
71 holomorphic vertex operator algebras of central charge 24 中心电荷的全纯顶点算子代数
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2019-03-01 DOI: 10.21915/BIMAS.2019105
C. Lam, Hiroki Shimakura
{"title":"71 holomorphic vertex operator algebras of central charge 24","authors":"C. Lam, Hiroki Shimakura","doi":"10.21915/BIMAS.2019105","DOIUrl":"https://doi.org/10.21915/BIMAS.2019105","url":null,"abstract":"In this article, we give a survey on the recent progress towards the classification of strongly regular holomorphic vertex operator algebras of central charge 24. In particular, we review the construction of the holomorphic vertex operator algebras that realize the 71 Lie algebras in Schellekens’ list. In addition, we discuss an open question if the Lie algebra structure of the weight one subspace will determine the isomorphism class of a holomorphic vertex operator algebra of central charge 24 uniquely.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"85 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88231139","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
On a certain category of $frak{gl}_{infty}$-modules 对某一类$frak{gl}_{infty}$ -模块
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2019-03-01 DOI: 10.21915/bimas.2019104
Cuipo Jiang, Haisheng Li
{"title":"On a certain category of $frak{gl}_{infty}$-modules","authors":"Cuipo Jiang, Haisheng Li","doi":"10.21915/bimas.2019104","DOIUrl":"https://doi.org/10.21915/bimas.2019104","url":null,"abstract":"","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"33 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87427558","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
Remarks on Affine Springer Fibres 关于仿射施普林格纤维的评述
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2019-02-04 DOI: 10.21915/bimas.2020101
G. Lusztig
{"title":"Remarks on Affine Springer Fibres","authors":"G. Lusztig","doi":"10.21915/bimas.2020101","DOIUrl":"https://doi.org/10.21915/bimas.2020101","url":null,"abstract":"Let h be a regular semisimple element in a complex simple Lie algebra g. Let t be an indeterminate. We consider the \"variety\" of Iwahori subalgebras of g tensored with power series in t which contain t times h. This variety admits a free action of a free abelian group of rank equal to the rank of g. We describe a fundamental domain for this action.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2019-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88757782","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
On primitive axial algebras of Jordan type 关于Jordan型的原始轴代数
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2018-12-01 DOI: 10.21915/BIMAS.2018403
L. Rowen, Yoav Segev
{"title":"On primitive axial algebras of Jordan type","authors":"L. Rowen, Yoav Segev","doi":"10.21915/BIMAS.2018403","DOIUrl":"https://doi.org/10.21915/BIMAS.2018403","url":null,"abstract":"The notion of axial algebra is closely related to $3$-transposition groups, the Monster group and vertex operator algebras. In this work we continue our previous works and compete the proof that all algebras generated by a set of primitive axes not necessarily of the same type (see the definition in the body of the paper), are primitive axial algebras of Jordan type.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"116 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78612433","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
Symmetric and alternating powers of Weil representations of finite symplectic groups 有限辛群的Weil表示的对称和交替幂
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2018-12-01 DOI: 10.21915/BIMAS.2018405
R. Guralnick, K. Magaard, P. Tiep
{"title":"Symmetric and alternating powers of Weil representations of finite symplectic groups","authors":"R. Guralnick, K. Magaard, P. Tiep","doi":"10.21915/BIMAS.2018405","DOIUrl":"https://doi.org/10.21915/BIMAS.2018405","url":null,"abstract":"Motivated by an earlier result of N. Katz, we establish all possible equalities between symmetric squares, alternating squares, and tensor products of complex irreducible Weil characters of finite symplectic groups in odd characteristic. We also construct an infinite series of examples of irreducible symmetric cubes and alternating cubes of complex representations of finite groups.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"1 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89215743","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
Conjugacy of Embeddings of Alternating Groups in Exceptional Lie Groups 例外李群中交替群嵌入的共轭性
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2018-12-01 DOI: 10.21915/BIMAS.2018406
Darrin D. Frey, A. Ryba
{"title":"Conjugacy of Embeddings of Alternating Groups in Exceptional Lie Groups","authors":"Darrin D. Frey, A. Ryba","doi":"10.21915/BIMAS.2018406","DOIUrl":"https://doi.org/10.21915/BIMAS.2018406","url":null,"abstract":"We discuss conjugacy classes of embeddings of Alternating groups in Exceptional Lie groups. We settle the count of classes of embeddings in E8 of a subgroup Alt10 and its double cover. This involves computation and the reduction of the problems to relative eigenvector problems. We update previously published tables of embeddings. We comment on the improvements present in our table and on the remaining unsettled conjugacy questions.","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":"79 1","pages":""},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75694111","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
Revisiting Character Theory of Finite Groups 再论有限群的特征理论
IF 0.2
Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2018-12-01 DOI: 10.21915/bimas.2018402
K. Harada
{"title":"Revisiting Character Theory of Finite Groups","authors":"K. Harada","doi":"10.21915/bimas.2018402","DOIUrl":"https://doi.org/10.21915/bimas.2018402","url":null,"abstract":"Two conjectures proposed (old and somewhat new) by the author elsewhere are discussed in this article. One is concerned with a modular version of the regular character of a finite group G, and the second one is concerned with the ratio of the product of the sizes of all conjugacy classes of G and the product of the degrees of all irreducible characters. 1. Conjectures I and II Let G be a finite group and Irr(G) = {χ1, χ2, . . . , χs} be the set of all inequivalent irreducible characters of G. Furthermore, let Conj(G) = {K1,K2, . . . ,Ks} be the set of all conjugacy classes of G. Choose a representative xj ∈ Kj for each j = 1, . . . , s and choose once and for all, χ1 = 1 and K1 = {1}. The group G acts on the set G by (left) multiplication ρ(g) : G x → gx ∈ G. The corresponding (permutation) character ρG is called the regular character of G and it satisfies ρG = s ∑","PeriodicalId":43960,"journal":{"name":"Bulletin of the Institute of Mathematics Academia Sinica New Series","volume":" 8","pages":""},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72384721","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
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