Semiinvariants of Finite Reflection Groups

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dc.creatorShepler, Anne V.
dc.date1998-11-09
dc.date1998-11-23
dc.date.accessioned2026-07-07T05:26:47Z
dc.date.available2026-07-07T05:26:47Z
dc.descriptionLet G be a finite group of complex n by n unitary matrices generated by reflections acting on C^n. Let R be the ring of invariant polynomials, and χbe a multiplicative character of G. Let Ω^χbe the R-module of χ-invariant differential forms. We define a multiplication in Ω^χand show that under this multiplication Ω^χhas an exterior algebra structure. We also show how to extend the results to vector fields, and exhibit a relationship between χ-invariant forms and logarithmic forms.
dc.descriptionPaper presented at 1999 Joint Meetings in San Antonio, special session on Geometry in Dynamics. Typo corrected
dc.identifierhttps://arxiv.org/abs/math/9811051
dc.identifierhttp://arxiv.org/abs/math/9811051
dc.identifierJ. Algebra 220, 314-326 (1999).
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77679
dc.subjectRings and Algebras
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subjectRepresentation Theory
dc.subject52B30; 51F15; 20H15
dc.titleSemiinvariants of Finite Reflection Groups
dc.typetext

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