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arxiv: 1305.2285 · v1 · pith:BBW64DH4new · submitted 2013-05-10 · 🧮 math.RA · math.AC

On finite-dimensional subalgebras of derivation Lie algebras

classification 🧮 math.RA math.AC
keywords mathbbalgebraalgebrasassociativecommutativederivationderivationsdescriptions
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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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