Higher Order and Secondary Hochschild Cohomology
Bruce R. Corrigan-Salter, Mihai D. Staic
TL;DR
This paper introduces a generalized framework for higher order Hochschild cohomology, demonstrating that secondary Hochschild cohomology is a specific instance within this broader construction.
Contribution
It presents a new, unified approach to Hochschild cohomology that encompasses secondary cohomology as a special case.
Findings
Secondary Hochschild cohomology is a particular case of the new construction.
The generalized framework broadens the understanding of Hochschild cohomology.
Provides a foundation for further exploration of higher order cohomological theories.
Abstract
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra