Supergroup $OSP(2,2n)$ and super Jacobi polynomials
Representation Theory
2019-08-06 v2 Mathematical Physics
math.MP
Abstract
Coefficients of super Jacobi polynomials of type are rational functions in three parameters . At the point these coefficient may have poles. Let us set and consider pair as a point of . If we apply blow up procedure at the point then we get a new family of polynomials depending on parameter . If then we get supercharacters of Kac modules for Lie supergroup and supercharacters of irreducible modules can be obtained for nonnegative integer depending on highest weight. Besides we obtained supercharcters of projective covers as specialisation of some nonsingular modification of super Jacobi polynomials.
Cite
@article{arxiv.1906.09753,
title = {Supergroup $OSP(2,2n)$ and super Jacobi polynomials},
author = {G. S. Movsisyan and A. N. Sergeev},
journal= {arXiv preprint arXiv:1906.09753},
year = {2019}
}
Comments
19 pages, extended version