Projective Schur functions as a bispherical functions on certain homogeneous superspaces

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dc.creatorSergeev, Alexander
dc.date2001-06-27
dc.date.accessioned2026-07-07T04:42:20Z
dc.date.available2026-07-07T04:42:20Z
dc.descriptionI show that the projective Schur functions may be interpreted as bispherical functions of either the triple (q(n),gl(n,n),q(n)), where q(n) is the "odd" (queer) analog of the general liner Lie algebra, or the triple (p(n),gl(n,n),p(n)), where p(n) is the periplectic Lie superalgebra which preserves the nondegenerate odd, bilinear form (either symmetric or skew symmetric). Making use of this interpretation I characterize projective Schur functions as common eigenfunctions of an algebra differential operators.
dc.descriptionLatex, 18 pages
dc.identifierhttps://arxiv.org/abs/math/0106233
dc.identifierhttp://arxiv.org/abs/math/0106233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61740
dc.subjectRepresentation Theory
dc.subject05E05, 17B35
dc.titleProjective Schur functions as a bispherical functions on certain homogeneous superspaces
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