We will introduce a new quantized enveloping superalgebra corresponding to the periplectic Lie superalgebra 𝔭n. This quantized enveloping superalgebra is a quantization of a Lie bisuperalgebra structure on 𝔭n. Furthermore, we will define the periplectic q-Brauer algebra and see that it admits natural centralizer properties.
This is joint work with N. Guay and S. Ahmed.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
