Hamiltonian structures of lie groups, lie bialgebras and the geometric meaning of the classical Yang-Baxter equations
Hamiltonian structures of lie groups, lie bialgebras and the geometric meaning of the classical Yang-Baxter equations
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DOI：
10.1142/9789812798336_0009
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发表时间：
1983
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影响因子：
--
通讯作者：
V. Drinfeld
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文献类型：
--
作者：
V. Drinfeld
副歌。假设r””_-”使得det（r””）0。设（b51）是（r””）的逆矩阵，设B是g上具有矩阵（bk，）的双线性形式。则R满足等式（1）当且仅当B是2-上圈;即当且仅当
COROLLARY. Suppose that r"" _-" is such that det (r"") 0. Let (b51) be the matrix which is the inverse of (r"") and let B be the bilinear form on g with matrix (bk,). Then R satisfies equation (1) if and only if B is a 2-cocycle; that is, if and only if