Q-DEFORMED VERMA REPRESENTATIONS OF QUANTUM ALGEBRA SLQ(3) AND NEW TYPE YANG-BAXTER MATRICES

被引：0

作者：

SUN, CP ^{[1
]}

LU, JF ^{[1
]}

GE, ML ^{[1
]}

机构：

[1] NANKAI UNIV,NANKAI INST MATH,DIV THEORET PHYS,TIANJIN 300071,PEOPLES R CHINA

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1991年 / 34卷 / 12期

关键词：

QUANTUM UNIVERSAL ENVELOPING ALGEBRA; VERMA MODULE; INDECOMPOSABLE REPRESENTATION; YANG-BAXTER EQUATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The q-deformation of Verma theory for the Lie algebra is studied in this paper. The indecomposable representations and the induced representations of quantum universal enveloping algebra sl(q)(3) are constructed on the q-deformed Verma space and the quotient spaces respectively. We put stress on the discussion of the case in which q is a root of unity. Using the new representation constrained in the subalgebra sl(q)(2), we systematically construct the new series of solutions (Yang-Baxter matrices) for Yang-Baxter equation without spectral parameter.

引用

页码：1474 / 1483

页数：10

共 33 条

[21] Representations of the Q-deformed Euclidean Algebra Uq(iso3) and Spectra of their Operators
Kachurik I.I.
Journal of Nonlinear Mathematical Physics, 1997, 4 (3-4) : 516 - 524
[22] Hopf-type deformed oscillators, their quantum double and a q-deformed Calogero-Vasiliev algebra
Paolucci, A
Tsohantjis, I
PHYSICS LETTERS A, 1997, 234 (01) : 27 - 34
[23] Hopf-type deformed oscillators, their quantum double and a q-deformed Calogero-Vasiliev algebra
Paolucci, A.
Tsohantjis, I.
Physics Letters. Section A: General, Atomic and Solid State Physics, 234 (01):
[24] New type of solutions of Yang-Baxter equations, quantum entanglement and related physical models
Yu, Li-Wei
Ge, Mo-Lin
32ND INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (GROUP32), 2019, 1194
[25] THE CYCLIC BOSON OPERATORS AND NEW REPRESENTATIONS OF THE QUANTUM ALGEBRA SLQ(2) FOR Q A ROOT OF UNITY
SUN, CP
GE, ML
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (17): : L969 - L973
[26] A NEW Q-DEFORMED BOSON REALIZATION OF QUANTUM ALGEBRA SL(Q)(N+1) AND NONGENERIC SL(Q)(2) R-MATRICES
SUN, CP
LIU, XF
GE, ML
JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (09) : 2409 - 2412
[27] Supersymmetric generalization of q-deformed long-range spin chains of Haldane-Shastry type and trigonometric GL(N |M) solution of associative Yang-Baxter equation
Matushko, M.
Zotov, A.
NUCLEAR PHYSICS B, 2024, 1001
[28] NEW R-MATRICES FOR THE YANG BAXTER EQUATION ASSOCIATED WITH THE REPRESENTATIONS OF THE QUANTUM SUPERALGEBRA UQOSP(1,2) WITH Q A ROOT OF UNITY
GE, ML
SUN, CP
XUE, K
PHYSICS LETTERS A, 1992, 163 (03) : 176 - 180
[29] 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
[30] Multiparametric and colored extensions of the quantum group GL(q)(N) and the Yangian algebra Y(gl(N)) through a symmetry transformation of the Yang-Baxter equation
BasuMallick, B
Ramadevi, P
Jagannathan, R
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1997, 12 (05): : 945 - 962

← 1 2 3 4 →