Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897582 | Journal of Pure and Applied Algebra | 2018 | 73 Pages |
Abstract
We investigate the faces and the face lattices of arbitrary Coxeter group invariant convex subcones of the Tits cone of a linear Coxeter system as introduced by E.B. Vinberg. Particular examples are given by certain Weyl group invariant polyhedral cones, which underlie the theory of normal reductive linear algebraic monoids as developed by M.S. Putcha and L.E. Renner. We determine the faces and the face lattice of the Tits cone and the imaginary cone, generalizing some of the results obtained for linear Coxeter systems with symmetric root bases by M. Dyer, and for linear Coxeter systems with free root bases by E. Looijenga, P. Slodowy, and the author.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
C. Mokler,