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On finite-dimensional subalgebras of derivation Lie algebras

Published 10 May 2013 in math.RA and math.AC | (1305.2285v1)

Abstract: Let $\mathbb{K}$ be a field, $R$ be an associative and commutative $\mathbb{K}$-algebra and $L$ be a Lie algebra over $\mathbb{K}$. We give some descriptions of injections from $L$ to Lie algebra of $\mathbb{K}$-derivations of $R$ in the terms of $L$.

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