Representations of the small nonstandard quantum groups

被引：9

作者：

Su, Dong ^{[1
]}

Yang, Shilin ^{[1
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2019年 / 47卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Nonstandard quantum group; indecomposable module; tensor product; GREEN RINGS; MODULES; ALGEBRA;

D O I：

10.1080/00927872.2019.1612412

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the representations of a class of small nonstandard quantum group over which the isomorphism classes of all indecomposable modules are classified, and the decomposition formulas of the tensor product of arbitrary indecomposable modules and simple (or projective) modules are established. The projective class rings and Grothendieck rings of are also characterized.

引用

页码：5039 / 5062

页数：24

共 50 条

[41] Reducibility of Quantum Representations of Mapping Class Groups
Jørgen Ellegaard Andersen
Jens Fjelstad
Letters in Mathematical Physics, 2010, 91 : 215 - 239
[42] COMPACT QUANTUM GROUPS WITH REPRESENTATIONS OF BOUNDED DEGREE
Krajczok, Jacek
Soltan, Piotr M.
JOURNAL OF OPERATOR THEORY, 2018, 80 (02) : 415 - 428
[43] Representations of deformed preprojective algebras and quantum groups
ShiLin Yang
JianZhen Liu
Science in China Series A: Mathematics, 2009, 52 : 109 - 118
[44] Representations of deformed preprojective algebras and quantum groups
YANG ShiLin & LIU JianZhen Department of Applied Mathematics
Science China Mathematics, 2009, (01) : 109 - 118
[45] MACDONALD'S POLYNOMIALS AND REPRESENTATIONS OF QUANTUM GROUPS
Etingof, Pavel I.
Kirillov, Alexander A., Jr.
MATHEMATICAL RESEARCH LETTERS, 1994, 1 (03) : 279 - 296
[46] Representations of non-commutative quantum groups
Kriegk, Benoit
Van den Bergh, Michel
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2015, 110 : 57 - 82
[47] Unitary continuous representations of compact quantum groups
Drabant, B.
Weich, W.
Journal of Mathematical Physics, 36 (02):
[48] A combinatorial approach to representations of quantum linear groups
Hu, J
COMMUNICATIONS IN ALGEBRA, 1998, 26 (08) : 2591 - 2621
[49] Classical and quantum Heisenberg groups, their representations and applications
Klimyk, AU
Schempp, W
ACTA APPLICANDAE MATHEMATICAE, 1996, 45 (02) : 143 - 194
[50] Antiholomorphic representations for orthogonal and symplectic quantum groups
Stovicek, P
JOURNAL OF ALGEBRA, 1996, 184 (01) : 71 - 101

← 1 2 3 4 5 →