Transposed Poisson structures and quasi-derivations

Abstract: In this talk, we describe transposed Poisson structures on Witt and Virasoro-type algebras. We compute 1/2-derivations on the deformative Schrodinger-Witt algebra, not-finitely graded Witt algebras, and not-finitely graded Heisenberg-Witt algebras. We classify all transposed Poisson structures on such algebras, as well as deformed generalized Heisenberg-Virasoro and not-finitely graded Heisenberg-Virasoro algebras. Furthermore, we compute the quasi-derivations of the Witt and Virasoro algebras.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar