Algebra
BD algebras and group cohomology
Comptes Rendus. Mathématique, Volume 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.

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

1 Department of Mathematics, Technical University of Cluj-Napoca, Str. G. Baritiu 25, Cluj-Napoca 400027, Romania
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Constantin-Cosmin Todea. BD algebras and group cohomology. Comptes Rendus. Mathématique, Volume 359 (2021) no. 8, pp. 925-937. doi : 10.5802/crmath.246. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.246/

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