Conference abstracts

Session S11 - Representations of Algebras

No date set

## Hochshild homology and cohomology of super Jordan plane

### Sebastián Gustavo Reca

### Universidad de Buenos Aires, Argentina - sebareca@gmail.com

We compute the Hochschild homology and cohomology of the algebra $A = \Bbbk\langle x, y | x^2, y^2x - xy^2 -xyx \rangle$, known as super Jordan plane. This algebra has Gelfand-Kirillov dimension equal to $2$, and it is also known as the Nichols algebra $B(V(-1,2))$. We also describe the algebra structure of the Hochschild cohomology.

Joint work with Andrea Solotar(Universidad de Buenos Aires, Argentina).