Abstract
This article is based on the author’s talk at the international conference dedicated to the memory of Professor B. Yu. Sternin (Moscow, November 6–9, 2018). The Hochschild homology and cohomology of a group algebra can be described via the homology and cohomology of the classifying space of the adjoint action groupoid of the group under a suitable assumption on the finiteness of supports of the cohomology groups. The difference between homology and cohomology leads to a correction to results in D. J. Benson’s book Representations and cohomology (vols. I–II, Cambridge Univ. Press, Cambridge, 1991).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Mishchenko, A.S. (2021). Derivations of Group Algebras and Hochschild Cohomology. In: Manuilov, V.M., Mishchenko, A.S., Nazaikinskii, V.E., Schulze, BW., Zhang, W. (eds) Differential Equations on Manifolds and Mathematical Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-37326-9_16
Download citation
DOI: https://doi.org/10.1007/978-3-030-37326-9_16
Published:
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-030-37325-2
Online ISBN: 978-3-030-37326-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)