Abstract
Let [Formula: see text] be the quantum exterior algebras over a field [Formula: see text] with char [Formula: see text], [Formula: see text] be the [Formula: see text]-Galois coverings of [Formula: see text]. In this paper, a basis of each degree of Hochschild cohomology of [Formula: see text], the cup product and the Gerstenhaber bracket on Hochschild cohomology of [Formula: see text] are given.
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