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math.QA2005★ 1 cited
Algebraic structures connected with pairs of compatible associative algebras
Alexander Odesskii, Vladimir Sokolov
We study associative multiplications in semi-simple associative algebras over C compatible with the usual one or, in other words, linear deformations of semi-simple associative alg…
math.QA2005★ 23 cited
Compatible Lie brackets related to elliptic curve
A V Odesskii, V V Sokolov
For the direct sum of several copies of sl_n, a family of Lie brackets compatible with the initial one is constructed. The structure constants of these brackets are expressed in te…