P. A. Valinevich, S. È. Derkachev, D. R. Karakhanyan, R. Kirshner, “Factorization of the $\mathcal R$-matrix for the algebra $U_q(s\ell_3)$”, Zap. Nauchn. Sem. POMI, 2007, Volume 347,Pages 88

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Factorization of the $\mathcal R$-matrix for the algebra $U_q(s\ell_3)$

P. A. Valinevich^a, S. È. Derkachev^b, D. R. Karakhanyan^c, R. Kirshner^d

^a Saint-Petersburg State University
^b St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
^c Yerevan Physics Institute
^d Universität Leipzig

Abstract: The Yang–Baxter operator is obtained in terms a product of operators permuting representation parameters in the Lax operators.
The construction relies on a factorization of the Lax operator in triangular matrices.

UDC: 517.9

Received: 12.11.2007