Geodesic
On a Lie Algebraic Approach to Abelian Extensions of Associative Algebras
Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 25-38

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DOI

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.
DOI : 10.4153/S0008439520000193
Mots-clés : Bimodules, cohomologies, derivations, abelian extensions 
Tan, Youjun; Xu, Senrong. On a Lie Algebraic Approach to Abelian Extensions of Associative Algebras. Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 25-38. doi: 10.4153/S0008439520000193
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     title = {On a {Lie} {Algebraic} {Approach} to {Abelian} {Extensions} of {Associative} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {25--38},
     year = {2021},
     volume = {64},
     number = {1},
     doi = {10.4153/S0008439520000193},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000193/}
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