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math.KT2001
Cohomology of trivial extensions of Frobenius algebras
Jorge A. Guccione, Juan J. Guccione
We obtain a decomposition for the Hochschild cochain complex of a split algebra and we study some properties of the cohomology of each term of this decomposition. Then, we consider…
math.KT2001
Hochschild cohomology of triangular matrix algebras
Jorge A. Guccione, Juan J. Guccione
We prove the existence of two long exact sequences relating the Hochschild cohomology of a triangular matrix algebra with the Hochschild homology of its component subalgebras. We a…
math.KT2001
Hochschild (co)homology of Hopf crossed products
Jorge A. Guccione, Juan J. Guccione
Let A a k-algebra, H a Hopf algebra, E = A#H a general crossed product and M an E-bimodule. We obtain a complex simpler than the canonical one, giving the Hochschild homology of E…