Elliptic Dunkl operators, root systems, and functional equations

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dc.creatorBuchstaber, V. M.
dc.creatorFelder, Giovanni
dc.creatorVeselov, A. V.
dc.date1994-03-29
dc.date.accessioned2026-07-07T09:14:16Z
dc.date.available2026-07-07T09:14:16Z
dc.descriptionWe consider generalizations of Dunkl's differential-difference operators associated with groups generated by reflections. The commutativity condition is equivalent to certain functional equations. These equations are solved in many cases. In particular, solutions associated with elliptic curves are constructed. In the $A_{n-1}$ case, we discuss the relation with elliptic Calogero-Moser integrable $n$-body problems, and discuss the quantization ($q$-analogue) of our construction.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9403178
dc.identifierhttp://arxiv.org/abs/hep-th/9403178
dc.identifierDuke Math.J. 76 (1994) 885-911
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152611
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleElliptic Dunkl operators, root systems, and functional equations
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