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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 335, Pages 164–187 (Mi znsl214)

This article is cited in 6 papers

Factorization of the R-matrix. II

S. È. Derkachev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: We study the general rational solution of the Yang–Baxter equation with the supersymmetry algebra $s\ell(2|1)$. The R-operator acting in the tensor product of two arbitrary representations of the supersymmetry algebra can be represented as the product of the simpler building blocks – $\mathcal R$-operators.

UDC: 517.9

Received: 14.05.2006

Language: English


 English version:
Journal of Mathematical Sciences (New York), 2007, 143:1, 2791–2805

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© Steklov Math. Inst. of RAS, 2024