Euler characters and super Jacobi polynomials
A.N. Sergeev, A.P. Veselov
TL;DR
This paper establishes a connection between Euler supercharacters of orthosymplectic Lie superalgebras and super Jacobi polynomials, utilizing a Weyl type formula and specializations to derive new formulas.
Contribution
It introduces a novel approach linking Euler supercharacters to super Jacobi polynomials through specialized formulas and a new Weyl type formula for super Schur functions.
Findings
Euler supercharacters are obtained as specializations of super Jacobi polynomials
A new Weyl type formula for super Schur functions is developed
The approach provides a unified framework for understanding supercharacters
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.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons