Geometric realizations of quiver algebras

被引：18

作者：

Orlov, Dmitri O. ^{[1
]}

机构：

[1] Russian Acad Sci, Dept Algebra Geometry, VA Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2015年 / 290卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

GENERATORS;

D O I：

10.1134/S0081543815060073

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct strong exceptional collections of vector bundles on smooth projective varieties that have a prescribed endomorphism algebra. We prove that the construction problem always has a solution. We consider some applications to noncommutative projective planes and to the quiver connected with the three-point Ising function.

引用

页码：70 / 83

页数：14

共 50 条

[31] Flavor of quiver-like realizations of effective supersymmetry
Auzzi, Roberto
Giveon, Amit
Gudnason, Sven Bjarke
JOURNAL OF HIGH ENERGY PHYSICS, 2012, (02):
[32] The Dual Quiver of the Auslander-Reiten Quiver of Path Algebras
Zhang, Mianmian
ALGEBRAS AND REPRESENTATION THEORY, 2012, 15 (02) : 203 - 210
[33] Flavor of quiver-like realizations of effective supersymmetry
Roberto Auzzi
Amit Giveon
Sven Bjarke Gudnason
Journal of High Energy Physics, 2012
[34] Quantum loop algebras, quiver varieties, and cluster algebras
Leclerc, Bernard
REPRESENTATIONS OF ALGEBRAS AND RELATED TOPICS, 2011, : 117 - 152
[35] Quiver Hecke Algebras and 2-Lie Algebras
Rouquier, Raphael
ALGEBRA COLLOQUIUM, 2012, 19 (02) : 359 - 410
[36] The Hall polynomials for tame quiver algebras
Zhang, SH
JOURNAL OF ALGEBRA, 2001, 239 (02) : 606 - 614
[37] On the Gabriel quiver of extensions of Leibniz algebras
Bamogo, Ziwendtaore Hermann
Wagemann, Friedrich
COMMUNICATIONS IN ALGEBRA, 2025, 53 (02) : 794 - 813
[38] Quiver Schur algebras and Koszul duality
Maksimau, Ruslan
JOURNAL OF ALGEBRA, 2014, 406 : 91 - 133
[39] Hochschild cohomology of truncated quiver algebras
Yun-ge Xu
Yang Han
Wen-feng Jiang
Science in China Series A: Mathematics, 2007, 50 : 727 - 736
[40] Nonpolynomial realizations of W algebras
Barbarin, F
Ragoucy, E
Sorba, P
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1996, 11 (16): : 2835 - 2870

← 1 2 3 4 5 →