Long bialgebras, dimodule algebras and quantum Yang-Baxter modules over Long bialgebras

被引：7

作者：

Zhang, Liang Yun ^{[1
]}

机构：

[1] Nanjing Agr Univ, Coll Sci, Nanjing 210095, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210008, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2006年 / 22卷 / 04期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

Long bialgebra; dimodule algebra; braided product; quantum Yang-Baxter module;

D O I：

10.1007/s10114-005-0683-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper gives a sufficient and necessary condition for a bialgebra to be a Long bialgebra, and proves a braided product to be a Long bialgebra under some conditions. It also gives a direct sum decomposition of quantum Yang-Baxter modules over Long bialgebras.

引用

页码：1261 / 1270

页数：10

共 50 条

[31] HOPF-ALGEBRAS AND QUANTUM YANG-BAXTER EQUATION
DRINFELD, VG
DOKLADY AKADEMII NAUK SSSR, 1985, 283 (05): : 1060 - 1064
[32] YANG-BAXTER ALGEBRAS, INTEGRABLE THEORIES AND QUANTUM GROUPS
DEVEGA, HJ
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (10): : 2371 - 2463
[33] Entwining Yang-Baxter maps over Grassmann algebras
Adamopoulou, P.
Papamikos, G.
PHYSICA D-NONLINEAR PHENOMENA, 2025, 472
[34] 3-Lie bialgebras and 3-Lie classical Yang-Baxter equations in low dimensions
Du, Chengyu
Bai, Chengming
Guo, Li
LINEAR & MULTILINEAR ALGEBRA, 2018, 66 (08): : 1633 - 1658
[35] HAMILTONIAN STRUCTURES ON LIE-GROUPS, LIE BIALGEBRAS AND THE GEOMETRIC MEANING OF CLASSICAL YANG-BAXTER EQUATIONS
DRINFELD, VG
DOKLADY AKADEMII NAUK SSSR, 1983, 268 (02): : 285 - 287
[36] Leibniz Bialgebras, Classical Yang–Baxter Equations and Dynamical Systems
Adel Rezaei-Aghdam
Leila Sedghi-Ghadim
Ghorbanali Haghighatdoost
Advances in Applied Clifford Algebras, 2021, 31
[37] Contractions of Lie bialgebras and quantum algebras
Liu, XF
Liu, ZJ
COMMUNICATIONS IN THEORETICAL PHYSICS, 1999, 32 (02) : 263 - 268
[38] The Hom-Yang-Baxter equation, Hom-Lie algebras, and quasi-triangular bialgebras
Yau, Donald
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (16)
[39] Yang-Baxter algebras, convolution algebras, and Grassmannians
Gorbunov, V. G.
Korff, C.
Stroppel, C.
RUSSIAN MATHEMATICAL SURVEYS, 2020, 75 (05) : 791 - 842
[40] Twisted quantum affine algebras and solutions to the Yang-Baxter equation
Delius, GW
Gould, MD
Zhang, YZ
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1996, 11 (19): : 3415 - 3437

← 1 2 3 4 5 →