Published April 1, 2010 | Version v1
Journal article Metadata-only

Reflection equation for the N = 3 Cremmer–Gervais R-matrix

Creators

  • 1. Institute of Physics, University of Tokyo, Komaba 3-8-1, Meguro-ku, Tokyo 153-8902 (Japan)
  • 2. Department of Mathematics, Rikkyo University, Nishi Ikebukuro 3-34-1, Toshima-ku, Tokyo 171-8501 (Japan)

Description

We consider the reflection equation of the N = 3 Cremmer–Gervais R-matrix. The reflection equation is shown to be equivalent to 38 equations which do not depend on the parameter of the R-matrix, q. Solving those 38 equations, the solution space is found to be the union of two types of spaces, each of which is parameterized by the algebraic variety P1(C)×P1(C)×P2(C) and C×P1(C)×P2(C)

Availability note (English)

Available from http://dx.doi.org/10.1088/1742-5468/2010/04/P04005

Additional details

Identifiers

DOI
10.1088/1742-5468/2010/04/P04005;
PII
S1742-5468(10)50143-2;

Publishing Information

Journal Title
Journal of Statistical Mechanics
Journal Volume
2010
Journal Issue
04
Journal Page Range
[32 p.]
ISSN
1742-5468

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
46001927
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ALGEBRA; DIFFERENTIAL EQUATIONS; MATHEMATICAL SOLUTIONS; R MATRIX; REFLECTION; SPACE
Descriptors DEC
EQUATIONS; MATHEMATICS; MATRICES