The Lie structure on the Hochschild cohomology of a modular group algebra

Details The Lie structure on the Hochschild cohomology of a modular group algebra The Lie structure on the Hochschild cohomology of a modular group algebra

2011-03-16

arxiv.org/abs/1103.3218v1

Mathematics

Rings and Algebras

23 pages

Scientific paper

We prove that the Gerstenhaber bracket on the Hochschild cohomology of the
group algebra of a cyclic group over a field of positive characteristic is not
trivial. In this case, we relate the Lie algebra structure on the odd degrees
of the Hochschild cohomology with a Witt-type algebra.

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