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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2025 Volume 548, Pages 70–100 (Mi znsl7658)

Factorization of the $\mathfrak{sl}(2|1)$ invariant R-matrix

S. E. Derkachova, D. I. Gettab

a Steklov Mathematical Institute, Fontanka 27, St. Petersburg, 191023, Russia
b St. Petersburg State University, 7/9 Universitetskaya Emb., St. Petersburg, 199034, Russia

Abstract: This work presents a new approach to the construction of general solution of the Yang–Baxter equation with supersymmetry algebra. The factorizing R-operator acts in a tensor product of two arbitrary Verma module representations of superalgebra $\mathfrak{sl}(2|1)$. The main building blocks in construction are even and odd intertwining operators.

Key words and phrases: Yang–Baxter equation, supersymmetry, representation theory, intertwining operators.

UDC: 539.1.01, 517.986.68

Received: 15.12.2025

Language: English



© Steklov Math. Inst. of RAS, 2026