Poincare-Birkhoff-Witt expansions of the canonical elliptic differential form

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dc.creatorFelder, G.
dc.creatorRimanyi, R.
dc.creatorVarchenko, A.
dc.date2005-02-14
dc.date2005-02-16
dc.date.accessioned2026-07-07T05:17:00Z
dc.date.available2026-07-07T05:17:00Z
dc.descriptionWe study the canonical U(\n)-valued elliptic differential form, whose projections to different Kac-Moody algebras are key ingredients of the hypergeometric integral solutions of elliptic KZ differential equations and Bethe ansatz constructions. We explicitly determine the coefficients of the projections in the simple Lie algebras A_r, B_r, C_r, D_r in a conveniently chosen Poincare-Birkhoff-Witt basis. As an application we give a new formula for eigenfunctions of Hamiltonians of the Calogero-Moser model.
dc.descriptionA typo corrected
dc.identifierhttps://arxiv.org/abs/math/0502296
dc.identifierhttp://arxiv.org/abs/math/0502296
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74198
dc.subjectRepresentation Theory
dc.subject33C67
dc.titlePoincare-Birkhoff-Witt expansions of the canonical elliptic differential form
dc.typetext

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