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Hochschild cohomology of group extensions of quantum complete intersections

We formulate the Gerstenhaber algebra structure of Hochschild cohomology of finite group extensions of some quantum complete intersections. When the group is trivial, this work characterizes the graded Lie brackets on Hochschild cohomology of these quantum complete intersections, previously only known for a few cases. As an example, we compute the algebra structure for two generator quantum complete intersections extended by select groups.

preprint2016arXivOpen access
Lauren Grimley
math.RTmath.QAmath.RA
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Lauren Grimley

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