Inner derivations of simple Lie pencils of rank 1 |
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Authors: | N A Koreshkov |
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Institution: | 1.Kazan (Volga Region) Federal University,Kazan,Russia |
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Abstract: | We prove that simple Lie pencils of rank 1 over an algebraically closed field P of characteristic 0 with operators of left multiplication being derivations are of the form of a sandwich algebra M 3(U,D′), where U is the subspace of all skew-symmetric matrices in M 3(P) and D′ is any subspace containing 〈E〉 in the space of all diagonal matrices D in M 3(P). |
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