Quantum Group Constructure of Non-standard R-matrix for Yang-Baxter Equation

Chin. Phys. Lett.

1991, Vol. 8

Issue (10): 495-498 DOI:

Original Articles

Quantum Group Constructure of Non-standard R-matrix for Yang-Baxter Equation

GE Molin;SUN changpu^*;XUE Kang^*

Theoretical Physics Division, Nankai Institute of Mathematics, Tianjin 300071 ^*also Department of Physics, Northeast Normal University, Changchun 130024

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GE Molin, SUN changpu, XUE Kang 1991 Chin. Phys. Lett. 8 495-498

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Abstract By taking the concept of weight conservation into account, new solutions of Yang-Baxter equation without spectral parameter are obtained through the non-standard R-matrix on the tensorial space V^1/2 V^j (j ≠1/2) in terms of the irreducible representation of the quantum universal enveloping algebra SL_q (2). The non-standard R-matrix R^1/21 is obtained in an explicit form for j= 1.

Keywords: 02.20.+b 05.50.+q

Published: 01 October 1991

PACS:	02.20.+b
	05.50.+q	(Lattice theory and statistics)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1991/V8/I10/0495

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