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5 papers · 1 filter
Cohomology ring of differential operator rings
Graciela Carboni, Jorge A. Guccione, Juan J. Guccione
We compute the multiplicative structure in the Hocshchild cohomology ring of a differential operators ring and the cap product of Hochschild cohomology on the Hochschild homology.
Two classes of algebras with infinite Hochschild homology
Andrea Solotar, Micheline Vigué-Poirrier
We prove without any assumption on the ground field that higher Hochschild homology groups do not vanish for two large classes of algebras whose global dimension in not finite.
The cohomology of monogenic extensions in the noncommutative setting
Marco Farinati, Jorge A. Guccione, Juan J. Guccione
We extend the notion of monogenic extension to the noncommutative setting, and we study the Hochschild cohomology ring of such an extension. As an aplication we complete the comput…
Hochschild cohomology of Frobenius algebras
Jorge A. Guccione, Juan J. Guccione
Let k be a field and let A be a Frobenius algebra over k. Assume that the Nakayama automorphism of A associated to a Frobenius homomorphism of A has finite order m, and k has a m-t…
G-Structure on the cohomology of Hopf algebras
M. Farinati, A. Solotar
We prove that Ext^*_A(k,k) is a Gerstenhaber algebra, where A is a Hopf algebra. In case A=D(H) is the Drinfeld double of a finite dimensional Hopf algebra H, our results implies t…