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arXiv · q-alg/9606008

Factorial supersymmetric Schur functions and super Capelli identities

Alexander Molev
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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.

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Alexander Molev. 1996-06-07. Factorial supersymmetric Schur functions and super Capelli identities. https://arxiv.org/abs/q-alg/9606008

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