aDepartment of Mathematics, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia;bDepartment of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, UK;cMoscow State University, Moscow 119899, Russia
Abstract:
We prove that Euler supercharacters for orthosymplectic Lie superalgebras can be obtained as a certain specialization of super Jacobi polynomials. A new version of Weyl type formula for super Schur functions and specialized super Jacobi polynomials play a key role in the proof.