An Adjacency Criterion for Coxeter Matroids

Keywords

Combinatorics, Matroid, Coxeter group, Mathematics, Uniform k 21 polytope

References

• The Greedy Algorithm and Coxeter MatroidsAndrew Vince — 2000
• Lectures on BuildingsM. Ronan — 1989
• Geometry of Coxeter groupsHoward L. Hiller — 1982
• Greedy algorithm and symmetric matroidsAndré Bouchet — 1987
• Boundaries of Coxeter MatroidsAlexandre Borovik, Israel M. Gelfand, Neil White — 1996
• Combinatorial Geometries, Convex Polyhedra, and Schubert CellsIsrael M. Gelfand, R. Mark Goresky, Robert MacPherson — 1987
• On exchange properties for Coxeter matroids and oriented matroidsAlexandre Borovik, Israel M. Gelfand, Neil White — 1998
• WP-Matroids and Thin Schubert Cells on Tits SystemsAlexandre Borovik, Israel M. Gelfand — 1994
• The lattice of flats and its underlying flag matroid polytopeAlexandre Borovik, Israel M. Gelfand, Andrew Vince — 1997
• Coxeter matroid polytopesAlexandre Borovik, Israel M. Gelfand, Neil White — 1997
• Combinatorial geometries and torus strata on homogeneous compact manifoldsIsrael M. Gelfand, Vera Serganova — 1987
• A geometric characterization of Coxeter matroidsVera Serganova, Andrew Vince, Andrei Zelevinsky — 1997
• Symplectic MatroidsAlexandre Borovik, Israel M. Gelfand, Neil White — 1998
• Reflection Groups and Coxeter GroupsJames E. Humphreys — 1990
• A Local Approach to BuildingsJ. Tits — 1981
• Groups of Lie Type and their Geometries: Coxeter groups and matroidsA. Borovik, K. Roberts — 1995

Cited by

• The Greedy Algorithm and Coxeter MatroidsAndrew Vince — 2000
• Combinatorial Flag VarietiesAlexandre Borovik, Israel M. Gelfand, Neil White — 2000
• Coxeter matroid polytopesAlexandre Borovik, Israel M. Gelfand, Neil White — 1997
• Oriented Lagrangian MatroidsRichard Booth, Alexandre Borovik, Israel M. Gelfand — 2000
• Orthogonal MatroidsAndrew Vince, Neil White — 2001
• Weak Generalized Lifting Property, Bruhat Intervals, and Coxeter MatroidsFabrizio Caselli, Michele D’Adderio, Mario Marietti — 2019
• Matroids and Coxeter groupsA. Borovik, C. Wensley — 2003
• 0 01 02 37 v 1 2 5 O ct 2 00 0 Oriented Lagrangian MatroidsRichard F. Booth, A. Borovik, I. Gelfand — 2006
• Combinatorial Geometry in Characteristic 1A. Borovik, I. Gelfand, N. White — 1999
• 2001 Kluwer Academic Publishers. Manufactured in The Netherlands.A. Vince, Neil White — 2001

Related papers

• A geometric characterization of Coxeter matroidsVera Serganova, Andrew Vince, Andrei Zelevinsky — 1997
• ISOMETRY CLASSES OF GENERALIZED ASSOCIAHEDRANantel Bergeron, Christophe Hohlweg, Carsten Lange — 2007
• A Characterization of the Simply-Laced FC-Finite Coxeter GroupsManabu Hagiwara, Masao Ishikawa, Hiroyuki Tagawa — 2004
• Bipolar Coxeter groupsPierre‐Emmanuel Caprace, Piotr Przytycki — 2010
• Some combinatorial models for reduced expressions in Coxeter groupsHugh Denoncourt — 2011
• Weak Generalized Lifting Property, Bruhat Intervals, and Coxeter MatroidsFabrizio Caselli, Michele D’Adderio, Mario Marietti — 2019
• On hyperbolic Coxeter n-polytopes with n + 2 facetsAnna Felikson, Pavel Tumarkin, Thomas Zehrt — 2007