Generating function for GL_n-invariant differential operators in the skew Capelli identity

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dc.creatorHashimoto, Takashi
dc.date2008-03-10
dc.date2009-02-04
dc.date.accessioned2026-07-07T12:37:07Z
dc.date.available2026-07-07T12:37:07Z
dc.descriptionLet Alt_n be the vector space of all alternating n-by-n complex matrices, on which the complex general linear group GL_n acts by $x \mapsto g x g^t$. 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 Alt_n provides a generating function for the GL_n-invariant differential operators that play a role in the skew Capelli identity, with coefficients the Hermite polynomials.
dc.descriptionChanged content; 10 pages, no figure
dc.identifierhttps://arxiv.org/abs/0803.1339
dc.identifierhttp://arxiv.org/abs/0803.1339
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218327
dc.subjectRepresentation Theory
dc.subject17B45, 15A15
dc.titleGenerating function for GL_n-invariant differential operators in the skew Capelli identity
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