Title of article :
Secondary Hochschild Cohomology and Derivations
Author/Authors :
Bennett ، Kylie Department of Mathematics - Faculty of Science - St. Norbert College , Heil ، Elizabeth Department of Mathematics - Faculty of Science - St. Norbert College , Laubacher ، Jacob Department of Mathematics - Faculty of Science - St. Norbert College
Abstract :
In this paper, we introduce a generalization of derivations. Using these so-called secondary derivations, along with an analogue of Connes’ Long Exact Sequence, we are able to provide computations in low dimension for the secondary Hochschild and cyclic cohomologies associated to a commutative triple. We then establish a property, which paves the way to relating secondary Kähler differentials with the aforementioned secondary derivations
Keywords :
Hochschild cohomology , Cyclic cohomology , Derivations ,
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
