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Your search keyword '"Hou, Bo-yu"' showing total 4 results
Start Over Author "Hou, Bo-yu" Topic yang-baxter equation
4 results on '"Hou, Bo-yu"'

1. Yang-Baxter equation, algebras and braid group for the Zn-symmetric statistical model

Author

Hou Bo-Yu and Wei Hua

Subjects
Pure mathematics, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Yang–Baxter equation, Quantum group, Mathematics::Quantum Algebra, Operator (physics), Braid group, General Physics and Astronomy, Quantum algebra, Lawrence–Krammer representation, Statistical model, Braid theory, Mathematics
Abstract

For the Zn-symmetric statistical model the Yang-Baxter equation and the equations for the operator representations is reduced to explicit spectroparameter-independent forms, and the quantum algebra for the representations is obtained. Moreover, we present some elliptic representations of braid group, which include a new trigonometric representation as degenerated case.

Published
1990

2. Solutions of Yang–Baxter equation in the vertex model and the face model for octet representation.

Author

Hou, Bo-Yu, Hou, Bo-Yuan, Ma, Zhong-Qi, and Yin, Yu-Dong

Subjects
*YANG-Baxter equation, *KAC-Moody algebras
Abstract

In this paper, the solutions of the Yang–Baxter equation both in the vertex model (R matrix) and in the face model (braiding matrix) are computed explicitly for the octet representation of the quantum Kac–Moody A(1)2 enveloping algebra where there is multiplicity greater than one in the decomposition of the coproduct 8x8. [ABSTRACT FROM AUTHOR]

Published
1991
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3. Algebras connected with the Zn elliptic solution of the Yang–Baxter equation.

Author

Hou Bo-yu and Wei Hua

Subjects
*YANG-Baxter equation, *MATHEMATICAL physics
Abstract

The quantum and classical algebras connected with the Zn-symmetric elliptic solution of the Yang–Baxter equation are derived; their structure constants and the relations between the quantum algebra and the classical one are investigated in detail. Moreover, the trigonometric limit of these algebras is worked out. [ABSTRACT FROM AUTHOR]

Published
1989
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4. Algebras connected with the Zn elliptic solution of the Yang–Baxter equation

Author

Wei Hua and Hou Bo‐yu

Subjects
Pure mathematics, Structure constants, Integrable system, Yang–Baxter equation, Quantum group, Quantum algebra, Statistical and Nonlinear Physics, Statistical mechanics, Algebra, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Trigonometry, Quantum, Mathematical Physics, Mathematics
Abstract

The quantum and classical algebras connected with the Zn‐symmetric elliptic solution of the Yang–Baxter equation are derived; their structure constants and the relations between the quantum algebra and the classical one are investigated in detail. Moreover, the trigonometric limit of these algebras is worked out.

Published
1989

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