Speaker：Jonas T. Hartwig（Iowa State University）

Time：2022-05-05, 20:00

Location：Tencent Meeting ID： 985173823（No Password）

Abstract:

Reduction algebras are known by many names in the literature, including step algebras, Mickelsson algebras, Zhelobenko algebras, and transvector algebras, to name a few. In this talk we present some results about the diagonal reduction superalgebra A of the orthosymplectic Lie superalgebra osp(1|2). We prove that the ghost center (center plus anti-center) of A is generated by two central elements and one anti-central element (analogous to the Scasimir due to Lesniewski). We also classify all finite-dimensional irreducible representations of A. As an application we provide an explicit decomposition of an infinite-dimensional tensor product of osp(1|2)-representations.

This talk is based on joint work with Dwight Anderson Williams II.