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.
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.
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@article{CRMATH_2016__354_11_1049_0, author = {Corrigan-Salter, Bruce R. and Staic, Mihai D.}, title = {Higher-order and secondary {Hochschild} cohomology}, journal = {Comptes Rendus. Math\'ematique}, pages = {1049--1054}, publisher = {Elsevier}, volume = {354}, number = {11}, year = {2016}, doi = {10.1016/j.crma.2016.10.013}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2016.10.013/} }
TY - JOUR AU - Corrigan-Salter, Bruce R. AU - Staic, Mihai D. TI - Higher-order and secondary Hochschild cohomology JO - Comptes Rendus. Mathématique PY - 2016 SP - 1049 EP - 1054 VL - 354 IS - 11 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2016.10.013/ DO - 10.1016/j.crma.2016.10.013 LA - en ID - CRMATH_2016__354_11_1049_0 ER -
%0 Journal Article %A Corrigan-Salter, Bruce R. %A Staic, Mihai D. %T Higher-order and secondary Hochschild cohomology %J Comptes Rendus. Mathématique %D 2016 %P 1049-1054 %V 354 %N 11 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2016.10.013/ %R 10.1016/j.crma.2016.10.013 %G en %F CRMATH_2016__354_11_1049_0
Corrigan-Salter, Bruce R.; Staic, Mihai D. Higher-order and secondary Hochschild cohomology. Comptes Rendus. Mathématique, Tome 354 (2016) no. 11, pp. 1049-1054. doi : 10.1016/j.crma.2016.10.013. http://archive.numdam.org/articles/10.1016/j.crma.2016.10.013/
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