SIMPLE SINGULARITIES AND SIMPLE LIE ALGEBRAS

被引：0

作者：

Le Dung Trang ^{[1
]}

Tosun, Meral ^{[2
]}

机构：

[1] Abdus Salam Int Ctr Theoret Phys, Dept Math, Trieste, Turkey

[2] Galatasaray Univ, Dept Math, Istanbul, Turkey

来源：

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2011年 / 2卷 / 01期

关键词：

simple singularities; resolution of singularities; Lie algebras; subregular nilpotent elements;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this survey article, we summarize the Grothendieck's conjectures relating simple singularities of surfaces and the geometry of finite dimensional complex simple Lie algebras. We also present the research works on the subject up to date with a list of references that can guide a beginner in the subject.

引用

页码：97 / 111

页数：15

共 50 条

[41] BRACKET WIDTH OF SIMPLE LIE ALGEBRAS
Dubouloz, Adrien
Kunyavskii, Boris
Regeta, Andriy
DOCUMENTA MATHEMATICA, 2021, 26 : 1601 - 1627
[42] Simple Lie Algebras and Topological ODEs
Bertola, Marco
Dubrovin, Boris
Yang, Di
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2018, 2018 (05) : 1368 - 1410
[43] Generators of simple Lie algebras II
Bois, Jean-Marie
FORUM MATHEMATICUM, 2010, 22 (03) : 525 - 538
[44] Depth Generated Simple Lie Algebras
Christopher Kennedy
David J. Winter
Algebras and Representation Theory, 2009, 12 : 53 - 61
[45] On character generators for simple Lie algebras
Okeke, N.
Walton, M. A.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (30) : 8873 - 8901
[46] A class of gradings of simple Lie algebras
Baur, Karin
Wallach, Nolan
LIE ALGEBRAS, VERTEX OPERATOR ALGEBRAS AND THEIR APPLICATIONS, 2007, 442 : 3 - +
[47] Complex finitary simple Lie algebras
A.A. Baranov
Archiv der Mathematik, 1999, 72 : 101 - 106
[48] Construction process for simple Lie algebras
Achab, Dehbia
JOURNAL OF ALGEBRA, 2011, 325 (01) : 186 - 204
[49] Simple n-Lie algebras
Pozhidaev A.P.
Algebra and Logic, 1999, 38 (3) : 181 - 192
[50] A class of nongraded simple Lie algebras
Su, YC
Zhou, JH
COMMUNICATIONS IN ALGEBRA, 2004, 32 (06) : 2365 - 2376

← 1 2 3 4 5 →