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Research Report MRR96-001
Factorial supersymmetric Schur functions and super Capelli identities
Alexander Molev
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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