If a convex body C in ℝ n has modular and irreducible face lattice and C is not strictly convex, there is a face-preserving homeomorphism from C to a set of positive-semidefinite Hermitian matrices of trace 1 over ℝ, ℂ or ℍ, or C has dimension 8, 14 or 26. © 2012 American Mathematical Society.
Cones and convex bodies with modular face lattices
Labardini Fragoso, D.;
2012
Abstract
If a convex body C in ℝ n has modular and irreducible face lattice and C is not strictly convex, there is a face-preserving homeomorphism from C to a set of positive-semidefinite Hermitian matrices of trace 1 over ℝ, ℂ or ℍ, or C has dimension 8, 14 or 26. © 2012 American Mathematical Society.
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