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Amenability of coarse spaces and K -algebras. 粗糙空间与K -代数的可调和性。
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2018-01-01 Epub Date: 2017-11-09 DOI: 10.1007/s13373-017-0109-6
Pere Ara, Kang Li, Fernando Lledó, Jianchao Wu
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引用次数: 9
Decomposition of ordinary differential equations 常微分方程的分解
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2017-12-01 DOI: 10.1007/S13373-017-0110-0
F. Schwarz
{"title":"Decomposition of ordinary differential equations","authors":"F. Schwarz","doi":"10.1007/S13373-017-0110-0","DOIUrl":"https://doi.org/10.1007/S13373-017-0110-0","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2017-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88615524","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Words of Engel type are concise in residually finite groups 恩格尔型的词在剩余有限群中是简洁的
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2017-11-13 DOI: 10.1007/s13373-018-0130-4
E. Detomi, M. Morigi, P. Shumyatsky
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引用次数: 16
Tosio Kato’s work on non-relativistic quantum mechanics: part 1 加藤俊雄在非相对论量子力学方面的工作:第一部分
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2017-11-01 DOI: 10.1007/S13373-018-0118-0
B. Simon
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引用次数: 25
Some trace inequalities for exponential and logarithmic functions 指数函数和对数函数的一些迹不等式
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2017-09-16 DOI: 10.1007/s13373-018-0123-3
E. Carlen, E. Lieb
{"title":"Some trace inequalities for exponential and logarithmic functions","authors":"E. Carlen, E. Lieb","doi":"10.1007/s13373-018-0123-3","DOIUrl":"https://doi.org/10.1007/s13373-018-0123-3","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2017-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87553611","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
Asymptotic inequalities for alternating harmonics 交替谐波的渐近不等式
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2017-08-29 DOI: 10.1007/S13373-017-0108-7
V. Lampret
{"title":"Asymptotic inequalities for alternating harmonics","authors":"V. Lampret","doi":"10.1007/S13373-017-0108-7","DOIUrl":"https://doi.org/10.1007/S13373-017-0108-7","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2017-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83824960","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
On the number of eigenvalues of the discrete one-dimensional Schrödinger operator with a complex potential 具有复势的离散一维Schrödinger算子的特征值数目
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2017-08-01 DOI: 10.1007/S13373-016-0093-2
Artem Hulko
{"title":"On the number of eigenvalues of the discrete one-dimensional Schrödinger operator with a complex potential","authors":"Artem Hulko","doi":"10.1007/S13373-016-0093-2","DOIUrl":"https://doi.org/10.1007/S13373-016-0093-2","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87205065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Lieb–Thirring type inequality for resonances 共振的Lieb-Thirring型不等式
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2017-08-01 DOI: 10.1007/S13373-016-0092-3
E. Korotyaev
{"title":"Lieb–Thirring type inequality for resonances","authors":"E. Korotyaev","doi":"10.1007/S13373-016-0092-3","DOIUrl":"https://doi.org/10.1007/S13373-016-0092-3","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78388302","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Blowing-up solutions for a nonlinear time-fractional system 非线性时间分数系统的爆破解
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2017-08-01 DOI: 10.1007/S13373-016-0087-0
A. Alsaedi, B. Ahmad, Mukhtar Bin Muhammad Kirane, Fatma S. K. Al Musalhi, F. Alzahrani
{"title":"Blowing-up solutions for a nonlinear time-fractional system","authors":"A. Alsaedi, B. Ahmad, Mukhtar Bin Muhammad Kirane, Fatma S. K. Al Musalhi, F. Alzahrani","doi":"10.1007/S13373-016-0087-0","DOIUrl":"https://doi.org/10.1007/S13373-016-0087-0","url":null,"abstract":"","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2017-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73810045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 15
On finite dimensional Nichols algebras of diagonal type 对角型有限维Nichols代数
IF 1.2 2区 数学
Bulletin of Mathematical Sciences Pub Date : 2017-07-26 DOI: 10.1090/CONM/728/14653
N. Andruskiewitsch, I. Angiono
{"title":"On finite dimensional Nichols algebras of diagonal type","authors":"N. Andruskiewitsch, I. Angiono","doi":"10.1090/CONM/728/14653","DOIUrl":"https://doi.org/10.1090/CONM/728/14653","url":null,"abstract":"AbstractThis is a survey on Nichols algebras of diagonal type with finite dimension, or more generally with arithmetic root system. The knowledge of these algebras is the cornerstone of the classification program of pointed Hopf algebras with finite dimension, or finite Gelfand–Kirillov dimension; and their structure should be indispensable for the understanding of the representation theory, the computation of the various cohomologies, and many other aspects of finite dimensional pointed Hopf algebras. These Nichols algebras were classified in Heckenberger (Adv Math 220:59–124, 2009) as a notable application of the notions of Weyl groupoid and generalized root system (Heckenberger in Invent Math 164:175–188, 2006; Heckenberger and Yamane in Math Z 259:255–276, 2008). In the first part of this monograph, we give an overview of the theory of Nichols algebras of diagonal type. This includes a discussion of the notion of generalized root system and its appearance in the contexts of Nichols algebras of diagonal type and (modular) Lie superalgebras. In the second and third part, we describe for each Nichols algebra in the list of Heckenberger \u0000(2009) the following basic information: the generalized root system; its label in terms of Lie theory; the defining relations found in Angiono (J Eur Math Soc 17:2643–2671, 2015; J Reine Angew Math 683:189–251, 2013); the PBW-basis; the dimension or the Gelfand–Kirillov dimension; the associated Lie algebra as in Andruskiewitsch et al. (Bull Belg Math Soc Simon Stevin 24(1):15–34, 2017). Indeed the second part deals with Nichols algebras related to Lie algebras and superalgebras in arbitrary characteristic, while the third contains the information on Nichols algebras related to Lie algebras and superalgebras only in small characteristic, and the few examples yet unidentified in terms of Lie theory.","PeriodicalId":9348,"journal":{"name":"Bulletin of Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2017-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72503484","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 54
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