Sklyanin invariant integration

Simple item page
dc.creatorRosengren, Hjalmar
dc.date2004-05-05
dc.date.accessioned2026-07-07T06:21:51Z
dc.date.available2026-07-07T06:21:51Z
dc.descriptionThe Sklyanin algebra admits realizations by difference operators acting on theta functions. Sklyanin found an invariant metric for the action and conjectured an explicit formula for the corresponding reproducing kernel. We prove this conjecture, and also give natural biorthogonal and orthogonal bases for the representation space. Moreover, we discuss connections with elliptic hypergeometric series and integrals and with elliptic 6j-symbols.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0405072
dc.identifierhttp://arxiv.org/abs/math/0405072
dc.identifierInt. Math. Res. Not. 2004 (2004), 3207-3232
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95731
dc.subjectQuantum Algebra
dc.subjectClassical Analysis and ODEs
dc.subject11F50; 17B37; 33D80
dc.titleSklyanin invariant integration
dc.typetext

Files

Collections

arXiv