Higher-order and secondary Hochschild cohomology

Bruce R. Corrigan-Salter; Mihai D. Staic

doi:10.1016/j.crma.2016.10.013

Homological algebra/Topology

Higher-order and secondary Hochschild cohomology

Presented by: the Editorial Board

Bruce R. Corrigan-Salter ¹; Mihai D. Staic ^2,³

¹ Department of Mathematics, Wayne State University, Detroit, MI 48202, USA
² Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA
³ Institute of Mathematics of the Romanian Academy, PO. BOX 1-764, RO-70700 Bucharest, Romania

Comptes Rendus. Mathématique, Volume 354 (2016) no. 11, pp. 1049-1054.

Abstract
Résumé

In this note we give a generalization for the higher-order Hochschild cohomology and show that the secondary Hochschild cohomology is a particular case of this new construction.

Nous généralisons dans cette Note la cohomologie de Hochschild d'ordre supérieur et nous démontrons que la cohomologie de Hochschild secondaire est un cas particulier de cette nouvelle construction.

Received: 2016-08-04
Accepted: 2016-10-12
Published online: 2016-10-20

DOI: 10.1016/j.crma.2016.10.013

Author's affiliations:

Bruce R. Corrigan-Salter ¹; Mihai D. Staic ^{2, 3}

¹ Department of Mathematics, Wayne State University, Detroit, MI 48202, USA
² Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, OH 43403, USA
³ Institute of Mathematics of the Romanian Academy, PO. BOX 1-764, RO-70700 Bucharest, Romania

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Bruce R. Corrigan-Salter; Mihai D. Staic. Higher-order and secondary Hochschild cohomology. Comptes Rendus. Mathématique, Volume 354 (2016) no. 11, pp. 1049-1054. doi : 10.1016/j.crma.2016.10.013. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.10.013/

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