Factorial supersymmetric Schur functions and super Capelli identities
q-alg
2008-02-03 v1 Quantum Algebra
Abstract
A factorial analogue of the supersymmetric Schur functions is introduced. It is shown that factorial versions of the Jacobi--Trudi and Sergeev--Pragacz formulae hold. The results are applied to construct a linear basis in the center of the universal enveloping algebra for the Lie superalgebra gl(m|n) and to obtain super-analogues of the higher Capelli identities.
Cite
@article{arxiv.q-alg/9606008,
title = {Factorial supersymmetric Schur functions and super Capelli identities},
author = {Alexander Molev},
journal= {arXiv preprint arXiv:q-alg/9606008},
year = {2008}
}
Comments
AMS-Tex, 40 pages