BD algebras and group cohomology

Constantin-Cosmin Todea

doi:10.5802/crmath.246

Algèbre

BD algebras and group cohomology

Constantin-Cosmin Todea ¹

¹ Department of Mathematics, Technical University of Cluj-Napoca, Str. G. Baritiu 25, Cluj-Napoca 400027, Romania

Comptes Rendus. Mathématique, Volume 359 (2021) no. 8, pp. 925-937.

Résumé

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.

Reçu le : 2021-05-14
Révisé le : 2021-07-18
Accepté le : 2021-07-21
Publié le : 2021-10-06

DOI : 10.5802/crmath.246

Classification : 20J06, 16E40, 16E45

Affiliations des auteurs :

Constantin-Cosmin Todea ¹

¹ Department of Mathematics, Technical University of Cluj-Napoca, Str. G. Baritiu 25, Cluj-Napoca 400027, Romania

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Constantin-Cosmin Todea},
     title = {BD algebras and group cohomology},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {925--937},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {8},
     year = {2021},
     doi = {10.5802/crmath.246},
     language = {en},
}

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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/

Bibliographie
Cité par

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