Linear Coxeter Groups

Jose Getino
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Jose Getino: Universidad de Oviedo, Departamento de Fisica

A chapter in Symmetries in Science VIII, 1995, pp 125-157 from Springer

Abstract: Abstract Any discrete group W generated by reflections in a space of constant curvature X (discrete reflection group) can be described in terms of its fundamental region P,which is a convex polyhedron whose dihedral angles are proper submultiples of π. By immersing the space X in a linear space E (the ambient space), P extends to a convex polyhedral cone C p and W extends to a linear group generated by reflections in the faces of C p (linear Coxeter group).

Keywords: Hyperbolic Space; Linear Extension; Coxeter Group; Convex Polyhedron; Cartan Matrix (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1007/978-1-4615-1915-7_12

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