Euler characters and super Jacobi polynomials

Sergeev, A.N.; Veselov, Alexander

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Euler characters and super Jacobi polynomials

journal contribution

posted on 2014-07-16, 08:38 authored by A.N. Sergeev, Alexander VeselovAlexander Veselov

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.

Funding

This work has been partially supported by the EPSRC (grant EP/E004008/1) and by the European Union through the FP6 Marie Curie RTN ENIGMA (contract number MRTN-CT- 2004-5652) and through ESF programme MISGAM.

History

School

Science

Department

Mathematical Sciences

Published in

ADVANCES IN MATHEMATICS

Volume

226

Issue

5

Pages

4286 - 4315 (30)

Citation

SERGEEV, A.N. and VESELOV, A.P., 2011. Euler characters and super Jacobi polynomials. Advances in Mathematics, 226 (5), pp. 4286-4315.

Publisher

Version

AM (Accepted Manuscript)

Publication date

2011

Notes

NOTICE: this is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published at http://dx.doi.org/10.1016/j.aim.2010.11.015.