This article is cited in 3 papers

Solutions of the Yang equation with rational irreducible spectral curves

V. I. Dragovich


Abstract: The author studies rank 1 solutions of the Yang equation $\mathscr R^{12}\mathscr L^{13}\mathscr L^{'23}=\mathscr L^{'23}\mathscr L^{13}\mathscr R^{12}$ with rational irreducible spectral curves with ordinary double points. A complete list of the solutions is given, and it is shown that these solutions, which satisfy the Yang–Baxter equation, lead to the $R$-matrix of Cherednik.

UDC: 517.9+513.015.7

MSC: Primary 14H60, 32L81; Secondary 58F07, 58F40, 81T13

Received: 20.05.1991

 English version: Russian Academy of Sciences. Izvestiya Mathematics, 1994, 42:1, 51–65

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