Combinatorics of rational functions and Poincare-Birkhoff-Witt expansions of the canonical U(n-)-valued differential form

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dc.creatorRimanyi, R.
dc.creatorStevens, L.
dc.creatorVarchenko, A.
dc.date2004-07-07
dc.date2005-02-16
dc.date.accessioned2026-07-07T05:10:01Z
dc.date.available2026-07-07T05:10:01Z
dc.descriptionWe study the canonical U(n-)-valued differential form, whose projections to different Kac-Moody algebras are key ingredients of the hypergeometric integral solutions of KZ-type differential equations and Bethe ansatz constructions. We explicitly determine the coefficients of the projections in the simple Lie albegras A_r, B_r, C_r, D_r in a conviniently chosen Poincare-Birkhoff-Witt basis. As a byproduct we obtain results on the combinatorics of rational functions, namely non-trivial identities are proved between certain rational functions with partial symmetries.
dc.descriptionMore typos corrected
dc.identifierhttps://arxiv.org/abs/math/0407101
dc.identifierhttp://arxiv.org/abs/math/0407101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71800
dc.subjectCombinatorics
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.subject33C67
dc.titleCombinatorics of rational functions and Poincare-Birkhoff-Witt expansions of the canonical U(n-)-valued differential form
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