On the Hochschild (Co)Homology of Quantum Exterior Algebras |
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Authors: | Petter Andreas Bergh |
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Affiliation: | 1. Institute for Mathematics , Trondheim, Norway bergh@math.ntnu.no |
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Abstract: | We compute the Hochschild cohomology and homology of the algebra Λ = k 〈x, y〉/(x 2, xy + qyx, y 2) with coefficients in 1 Λψ for every degree preserving k-algebra automorphism ψ : Λ → Λ. As a result we obtain several interesting examples of the homological behavior of Λ as a bimodule. |
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Keywords: | Hochschild (Co)homology Twisted bimodules |
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