发布求助
文献互助 智能选刊 最新文献

Tsukuba Journal of Mathematics最新文献

筛选
英文 中文
Realizations of inner automorphisms of order four and fixed points subgroups by them on the connected compact exceptional Lie group $E_8$, Part II 连通紧致例外李群$E_8$上四阶内自同构及其不动点子群的实现（Ⅱ）
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2017-07-01 DOI: 10.21099/TKBJM/1571968818
Toshikazu Miyashita
{"title":"Realizations of inner automorphisms of order four and fixed points subgroups by them on the connected compact exceptional Lie group $E_8$, Part II","authors":"Toshikazu Miyashita","doi":"10.21099/TKBJM/1571968818","DOIUrl":"https://doi.org/10.21099/TKBJM/1571968818","url":null,"abstract":"The compact simply connected Riemannian 4-symmetric spaces were classified by J.A. Jim{e}nez according to type of the Lie algebras. As homogeneous manifolds, these spaces are of the form $G/H$, where $G$ is a connected compact simple Lie group with an automorphism $tilde{gamma}$ of order four on $G$ and $H$ is a fixed points subgroup $G^gamma$ of $G$. According to the classification by J.A. Jim{e}nez, there exist seven compact simply connected Riemannian 4-symmetric spaces $ G/H $ in the case where $ G $ is of type $ E_8 $. In the present article, %as Part II continuing from Part I, for the connected compact %exceptional Lie group $E_8$, we give the explicit form of automorphisms $tilde{w}_{{}_4} tilde{upsilon}_{{}_4}$ and $tilde{mu}_{{}_4}$ of order four on $E_8$ induced by the $C$-linear transformations $w_{{}_4}, upsilon_{{}_4}$ and $mu_{{}_4}$ of the 248-dimensional vector space ${mathfrak{e}_8}^{C}$, respectively. Further, we determine the structure of these fixed points subgroups $(E_8)^{w_{{}_4}}, (E_8)^{{}_{upsilon_{{}_4}}}$ and $(E_8)^{{} _{mu_{{}_4}}}$ of $ E_8 $. These amount to the global realizations of three spaces among seven Riemannian 4-symmetric spaces $ G/H $ above corresponding to the Lie algebras $ mathfrak{h}=ibm{R} oplus mathfrak{su}(8), ibm{R} oplus mathfrak{e}_7$ and $mathfrak{h}= mathfrak{su}(2) oplus mathfrak{su}(8)$, where $ mathfrak{h}={rm Lie}(H) $.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45020721","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 the groups of isometries of simple para-Hermitian symmetric spaces 关于简单准Hermitian对称空间的等距群
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2017-07-01 DOI: 10.21099/TKBJM/1506353558
Takuya Shimokawa, Kyoji Sugimoto
{"title":"On the groups of isometries of simple para-Hermitian symmetric spaces","authors":"Takuya Shimokawa, Kyoji Sugimoto","doi":"10.21099/TKBJM/1506353558","DOIUrl":"https://doi.org/10.21099/TKBJM/1506353558","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2017-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1506353558","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47143371","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 Doi-Naganuma lifting 关于Doi Naganuma吊装
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-12-01 DOI: 10.21099/TKBJM/1492104600
Balesh Kumar, M. Manickam
{"title":"On Doi-Naganuma lifting","authors":"Balesh Kumar, M. Manickam","doi":"10.21099/TKBJM/1492104600","DOIUrl":"https://doi.org/10.21099/TKBJM/1492104600","url":null,"abstract":". In this paper, we extend the Doi-Naganuma lifting as suggested by Kudla [4], on the lines of Zagier’s work [6]. For each fundamental discriminant D associated with a real quadratic field, we prove that there exists a Hecke-equivarient map i D which maps the m th Poincare series of weight k , level M and character w D ¼ : D (cid:1) (cid:2) into a Hilbert cusp form of weight k , level M = D associated with the real quadratic field of discriminant D of class number one. Through this, we get its adjoint i (cid:1) D with respect to the Petersson inner product.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1492104600","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831384","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
On the hyperspace ℭ(X) of continua 在连续体超空间ℭ(X)上
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-12-01 DOI: 10.21099/TKBJM/1492104602
R. Escobedo, V. Sánchez-Gutiérrez, J. Sánchez-Martínez
{"title":"On the hyperspace ℭ(X) of continua","authors":"R. Escobedo, V. Sánchez-Gutiérrez, J. Sánchez-Martínez","doi":"10.21099/TKBJM/1492104602","DOIUrl":"https://doi.org/10.21099/TKBJM/1492104602","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2016-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1492104602","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831421","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
Abstract incomplete degenerate differential equations 摘要不完全退化微分方程
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-07-01 DOI: 10.21099/TKBJM/1474747486
M. Kostic
{"title":"Abstract incomplete degenerate differential equations","authors":"M. Kostic","doi":"10.21099/TKBJM/1474747486","DOIUrl":"https://doi.org/10.21099/TKBJM/1474747486","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1474747486","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831325","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
Weakly UU rings 弱UU环
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-07-01 DOI: 10.21099/TKBJM/1474747489
P. Danchev
{"title":"Weakly UU rings","authors":"P. Danchev","doi":"10.21099/TKBJM/1474747489","DOIUrl":"https://doi.org/10.21099/TKBJM/1474747489","url":null,"abstract":". We introduce and give a comprehensive study of weakly UU rings , calling them WUU rings . This notion is a natural gen-eralization of the so-called UU rings, defined by Calugareanu (Carpath. J. Math., 2015) and investigated in details by Danchev-Lam (Publicat. Math. Debrecen, 2016). It also demarcates the strength of recent results about these kind of rings by giving a strong barrier between some of their crucial properties.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1474747489","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831361","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: 25
A small remark on the filtered $varphi$-module of Fermat varieties and Stickelberger's theorem 关于费马变量的滤波$varphi$-模和斯蒂克尔伯格定理的一个小注释
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-07-01 DOI: 10.21099/TKBJM/1474747490
Go Yamashita
{"title":"A small remark on the filtered $varphi$-module of Fermat varieties and Stickelberger's theorem","authors":"Go Yamashita","doi":"10.21099/TKBJM/1474747490","DOIUrl":"https://doi.org/10.21099/TKBJM/1474747490","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1474747490","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831375","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
Tails of the first hitting times of linear diffusions 线性扩散的第一次撞击时间的尾部
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-07-01 DOI: 10.21099/TKBJM/1474747487
Y. Kasahara
{"title":"Tails of the first hitting times of linear diffusions","authors":"Y. Kasahara","doi":"10.21099/TKBJM/1474747487","DOIUrl":"https://doi.org/10.21099/TKBJM/1474747487","url":null,"abstract":". The tail probability of the first hitting time is discussed for linear di¤usions. We obtain the decay rates in terms of the spectral functions and the scale functions. The result is a general-ization of recent results of Hamana-Matsumoto for Bessel processes.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2016-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1474747487","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831505","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
Contragredient Lie algebras and Lie algebras associated with a standard pentad 相容李代数和与标准五边形相关的李代数
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-04-08 DOI: 10.21099/TKBJM/1541559647
Nagatoshi Sasano
{"title":"Contragredient Lie algebras and Lie algebras associated with a standard pentad","authors":"Nagatoshi Sasano","doi":"10.21099/TKBJM/1541559647","DOIUrl":"https://doi.org/10.21099/TKBJM/1541559647","url":null,"abstract":"We will construct standard pentads which are analogues of Cartan subalgebras, and moreover, we will study graded Lie algebras corresponding to these standard pentads. We call such pentads pentads of Cartan type and describe them by two positive integers and three matrices. The structures of their corresponding Lie algebras are related with contragredient Lie algebras.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2016-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67631409","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
Spacelike constant mean curvature and maximal surfaces in 3-dimensional de Sitter space via Iwasawa splitting 基于Iwasawa分裂的三维de Sitter空间类空间常平均曲率和最大曲面
IF 0.7
Tsukuba Journal of Mathematics Pub Date : 2016-03-01 DOI: 10.21099/tkbjm/1461270060
Yuta Ogata
{"title":"Spacelike constant mean curvature and maximal surfaces in 3-dimensional de Sitter space via Iwasawa splitting","authors":"Yuta Ogata","doi":"10.21099/tkbjm/1461270060","DOIUrl":"https://doi.org/10.21099/tkbjm/1461270060","url":null,"abstract":". We study the construction of spacelike constant mean curvature (CMC) surfaces with mean curvature 0 a H < 1 in 3-dimensional de Sitter space S 2 ; 1 , by using Iwasawa splitting. We also study their singularities and create some criteria for them.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/tkbjm/1461270060","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67831237","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
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