Factorial supersymmetric Schur functions and super Capelli identities

Details Factorial supersymmetric Schur functions and super Capelli identities Factorial supersymmetric Schur functions and super Capelli identities

1996-06-07

arxiv.org/abs/q-alg/9606008v1

Mathematics

Quantum Algebra

AMS-Tex, 40 pages

Scientific paper

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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