GENERATING FUNCTION FOR GLn-INVARIANT DIFFERENTIAL OPERATORS IN THE SKEW CAPELLI IDENTITY
نویسنده
چکیده
ABSTRACT. Let Altn be the vector space of all alternating n × n complex matrices, on which the complex general linear group GLn acts by x 7→ gx tg. The aim of this paper is to show that Pfaffian of a certain matrix whose entries are multiplication operators or derivations acting on polynomials on Altn provides a generating function for the GLninvariant differential operators which play essential rôle in the skew Capelli identity.
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تاریخ انتشار 2009