Cones and convex bodies with modular face lattices
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- by Daniel Labardini-Fragoso, Max Neumann-Coto and Martha Takane PDF
- Proc. Amer. Math. Soc. 140 (2012), 4337-4350 Request permission
Abstract:
If a convex body $C$ in $\mathbb {R}^{n}$ 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 $\mathbb {R}$, $\mathbb {C}$ or $\mathbb {H}$, or $C$ has dimension 8, 14 or 26.References
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Additional Information
- Daniel Labardini-Fragoso
- Affiliation: Mathematisches Institut, Universität Bonn, D-53115 Bonn, Germany
- MR Author ID: 868181
- Email: labardini@math.uni-bonn.de
- Max Neumann-Coto
- Affiliation: Instituto de Matemáticas, Universidad Nacional Autónoma de México, Cuernavaca, México
- Email: max@matcuer.unam.mx
- Martha Takane
- Affiliation: Instituto de Matemáticas, Universidad Nacional Autónoma de México, Cuernavaca, México
- Email: takane@matcuer.unam.mx
- Received by editor(s): February 20, 2009
- Received by editor(s) in revised form: May 24, 2011
- Published electronically: April 11, 2012
- Additional Notes: Research partially supported by PAPIIT grants IN103508, IN101309 and a PASPA fellowship.
- Communicated by: Jim Haglund
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 4337-4350
- MSC (2010): Primary 52A20, 06C05, 51A05, 15B48
- DOI: https://doi.org/10.1090/S0002-9939-2012-11278-X
- MathSciNet review: 2957224
Dedicated: Dedicated to Claus M. Ringel on the occasion of his 65th birthday