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Super Multivariate Krawtchouk Polynomials via Lie Superalgebras
Songhao Zhu
Location: Hill 705
Date & time: Tuesday, 24 March 2026 at 12:10AM - 1:10PM
Krawtchouk polynomials constitute a family of orthogonal polynomials with applications in probability theory. In 2012, Iliev gave a Lie-theoretic interpretation of the multivariate Krawtchouk polynomials using certain representations of the Lie algebra sl_n. In this talk, we will present a superization of this interpretation, introduce super Krawtchouk polynomials with anticommuting variables, and explore their connection with zonal spherical functions on oriented Grassmannians. This is a joint work in progress with Plamen Iliev.