Hochschild cohomology of some quantum complete intersections

We compute the Hochschild cohomology ring of the algebras $A= k\langle X, Y\rangle/ (X^a, XY-qYX, Y^a)$ over a field $k$ where $a\geq 2$ and where $q\in k$ is a primitive $a$-th root of unity. We find the the dimension of $\mathrm{HH}^n(A)$ and show that it is independent of $a$. We compute explicit...

Descrizione completa

Dettagli Bibliografici
Autori principali: Erdmann, K, Hellstrøm-Finnsen, M
Natura: Journal article
Pubblicazione: World Scientific Publishing 2018