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Parameter-dependent solutions of the classical Yang-Baxter equation on sl(n,C)

par Cahen, Michel ;De Smedt, Vivian
Référence Bulletin of the Belgian Mathematical Society Simon Stevin, 3, 5, page (517-520)
Publication Publié, 1996-12

Article révisé par les pairs

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Résumé :

For any integers n and m (m ≥ 4) such that n + m is odd we exhibit triangular solutions of the classical Yang-Baxter equation on sl((n + 1)(m + 2), ℂ) parametrized by points of a quotient of complex projective space ℙ⌊n/2⌋(ℂ) by the action of the symmetric group Sym(⌊n+1/2⌋) and we prove that no two of these solutions are isomorphic.