On finite-dimensional subalgebras of derivation Lie algebras

2013/05/10 by Ievgen Makedonskyi, Makedonskyi, Ievgen
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1305.2285

openalex publication_date 2013/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let \mathbbK be a field, R be an associative and commutative \mathbbK-algebra and L be a Lie algebra over \mathbbK. We give some descriptions of injections from L to Lie algebra of \mathbbK-derivations of R in the terms of L.

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