2-PARAMETRIC SOLUTION TO GRADED YANG-BAXTER EQUATION AND 2-PARAMETRIC UU-UPSILON-GL(1/1) ALGEBRA AS A HOPF ALGEBRA

被引：1

作者：

YAN, H

ZHOU, Y

ZHU, TH

机构：

[1] ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA

[2] KANSAS STATE UNIV AGR & APPL SCI,DEPT PHYS,MANHATTAN,KS 66506

[3] COLUMBIA UNIV,DEPT PHYS,NEW YORK,NY 10027

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 04期

关键词：

D O I：

10.1088/0305-4470/26/4/021

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss a two-parametric solution of the graded Yang-Baxter equation (YBE) and perform the Yang-Baxterization to obtain the solution to quantum YBE. In the formalism developed in [1-4], we give the two-parametric quantized superalgebra U(uv)gl(1\1) and prove that this algebra is a Hopf algebra with the Hopf operations explicitly provided.

引用

页码：935 / 941

页数：7

共 23 条

[1] EXISTENCE OF THE SOLUTION OF SZEBEHELY EQUATION IN 3 DIMENSIONS USING A 2-PARAMETRIC FAMILY OF ORBITS
VARADI, F
ERDI, B
CELESTIAL MECHANICS, 1983, 30 (04): : 395 - 405
[2] ON A NONSTANDARD 2-PARAMETRIC QUANTUM ALGEBRA AND ITS CONNECTIONS WITH U-P,U-Q(GL(2)) AND U-P,U-Q(GL(1-VERTICAL-BAR-1))
CHAKRABARTI, R
JAGANNATHAN, R
ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1995, 66 (03): : 523 - 528
[3] QUANTUM OSP(1,2) AND SOLUTIONS OF THE GRADED YANG-BAXTER EQUATION
SALEUR, H
NUCLEAR PHYSICS B, 1990, 336 (03) : 363 - 376
[4] GRADED POST-LIE ALGEBRA STRUCTURES, ROTA-BAXTER OPERATORS AND YANG-BAXTER EQUATIONS ON THE W-ALGEBRA W (2,2)
Tang, Xiaomin
Zhong, Yongyue
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (06) : 1727 - 1748
[5] NONSTANDARD R-MATRICES FOR THE YANG-BAXTER EQUATION AND BOSON REPRESENTATIONS OF THE QUANTUM ALGEBRA SLQ(2) WITH QP = +/-1
GE, ML
LIU, XF
SUN, CP
PHYSICS LETTERS A, 1991, 155 (2-3) : 137 - 139
[6] SUQ,H-]0(2) AND SUQ,H(2), THE CLASSICAL AND QUANTUM Q-DEFORMATIONS OF THE SU(2) ALGEBRA .2. THE HOPF ALGEBRA, THE YANG-BAXTER EQUATION AND MULTI-DEFORMED ALGEBRAIC STRUCTURES
CHANG, Z
CHEN, W
GUO, HY
YAN, H
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (23): : 5371 - 5382
[7] SOLUTION OF THE GRADED YANG-BAXTER EQUATION ASSOCIATED WITH THE VECTOR REPRESENTATION OF UQ(OSP(M/2N))
ZHANG, RB
BRACKEN, AJ
GOULD, MD
PHYSICS LETTERS B, 1991, 257 (1-2) : 133 - 139
[8] The Hopf Algebra Structure of GL(1, Hq) and the Isomorphism between SPq(1)and SUq(2)
Salih çelik
Letters in Mathematical Physics, 1997, 42 : 27 - 34
[9] THE Q-BOSON REALIZATION OF NEW SOLUTIONS FOR THE YANG-BAXTER EQUATION ASSOCIATED WITH THE QUANTUM ALGEBRA UQSL(3) AT QP = 1
GE, ML
LIU, XF
SUN, CP
PHYSICS LETTERS A, 1991, 160 (05) : 433 - 436
[10] Exact solution of a Yang-Baxter spin-1/2 chain model and quantum entanglement
Hu, Ming-Guang
Xue, Kang
Ge, Mo-Lin
PHYSICAL REVIEW A, 2008, 78 (05):

← 1 2 3 →