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On a Lie Algebraic Approach to Abelian Extensions of Associative Algebras

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Abstract By using a representation of a Lie algebra on the second Hochschild cohomology group, we construct an obstruction class to extensibility of derivations and a short exact sequence of… Click to show full abstract

Abstract By using a representation of a Lie algebra on the second Hochschild cohomology group, we construct an obstruction class to extensibility of derivations and a short exact sequence of Wells type for an abelian extension of an associative algebra.

Keywords: extensions associative; approach abelian; abelian extensions; algebraic approach; associative algebras; lie algebraic

Journal Title: Canadian Mathematical Bulletin
Year Published: 2020

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