2019/06/24 by G.S. Movsisyan, Movsisyan, G. S., A. N. Sergeev +1
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1906.09753
openalex publication_date 2019/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Coefficients of super Jacobi polynomials of type B(1,n) are rational functions in three parameters k,p,q. At the point (-1,0,0) these coefficient may have poles. Let us set q=0 and consider pair (k,p) as a point of \Bbb A2. If we apply blow up procedure at the point (-1,0) then we get a new family of polynomials depending on parameter t∈ \Bbb P. If t=∞ then we get supercharacters of Kac modules for Lie supergroup OSP(2,2n) and supercharacters of irreducible modules can be obtained for nonnegative integer t depending on highest weight. Besides we obtained supercharcters of projective covers as specialisation of some nonsingular modification of super Jacobi polynomials.