Bulletin of Mathematical Sciences最新文献_第8页

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

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

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

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

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

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

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":"87 1","pages":"353-573"},"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

Classification and properties of the $$pi $$π-submaximal subgroups in minimal nonsolvable groups 极小不可解群中$$pi $$ π-次极大子群的分类与性质

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2017-06-07 DOI: 10.1007/s13373-017-0112-y

W. Guo, D. Revin

引用次数: 18

Construction of nearly hyperbolic distance on punctured spheres 穿孔球上近双曲距离的构造

IF 1.2 2区数学

Bulletin of Mathematical Sciences Pub Date : 2017-04-26 DOI: 10.1007/s13373-017-0111-z

T. Sugawa, Tanran Zhang

引用次数: 2

Generalized Wintgen inequality for statistical submanifolds in statistical manifolds of constant curvature 常曲率统计流形中统计子流形的广义Wintgen不等式