no. 8
Algèbre
BD algebras and group cohomology
Todea, Constantin-Cosmin1
1 Department of Mathematics, Technical University of Cluj-Napoca, Str. G. Baritiu 25, Cluj-Napoca 400027, Romania
Comptes Rendus. Mathématique, Tome 359 (2021) no. 8, pp. 925-937.

BD algebras (Beilinson–Drinfeld algebras) are algebraic structures which are defined similarly to BV algebras (Batalin–Vilkovisky algebras). The equation defining the BD operator has the same structure as the equation for BV algebras, but the BD operator is increasing with degree +1. We obtain methods of constructing BD algebras in the context of group cohomology.

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DOI : 10.5802/crmath.246
Classification : 20J06, 16E40, 16E45
Todea, Constantin-Cosmin 1

1 Department of Mathematics, Technical University of Cluj-Napoca, Str. G. Baritiu 25, Cluj-Napoca 400027, Romania 
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Todea, Constantin-Cosmin. BD algebras and group cohomology. Comptes Rendus. Mathématique, Tome 359 (2021) no. 8, pp. 925-937. doi : 10.5802/crmath.246. http://www.numdam.org/articles/10.5802/crmath.246/

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