Finite orbits of the braid group action on sets of reflections

dc.creatorStefanov, Alexandre
dc.date2004-09-14
dc.date2006-06-01
dc.date.accessioned2026-07-07T06:38:32Z
dc.date.available2026-07-07T06:38:32Z
dc.descriptionThe finite orbits of the braid group action on Stokes matrices are studied and are shown to be the orbits on ordered sets of reflections, generating finite groups. All invariants of a reflection arrangement are determined. Determination of the orbits of the braid group on non-redundant generaing reflections in finite groups is done in a new way. The original idea is to introduce universal sets of generators in each group. These sets are found for all finite Coxeter groups. The orbits are classified for non-degenerate arrangement matrices.
dc.descriptionrewritten for clarity, 57 pages, 47 figures, LaTeX
dc.identifierhttps://arxiv.org/abs/math-ph/0409026
dc.identifierhttp://arxiv.org/abs/math-ph/0409026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100766
dc.subjectMathematical Physics
dc.titleFinite orbits of the braid group action on sets of reflections
dc.typetext

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