We define the category of homogeneous triples, which is equivalent to the category of graded algebras, with a fixed semisimple degree zero part. We apply the results to algebras whose defining ideal has two generators, and give a partial classification.

This talk is based on a joint work with Yury Volkov.

This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.