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   -

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).

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