Orthogonal Matroids

Keywords

Matroid, Coxeter group, Mathematics, Combinatorics, Graphic matroid

References

• An Adjacency Criterion for Coxeter MatroidsAlexandre Borovik, Andrew Vince — 1999
• The Greedy Algorithm and Coxeter MatroidsAndrew Vince — 2000
• Geometry of Coxeter groupsHoward L. Hiller — 1982
• Greedy algorithm and symmetric matroidsAndré Bouchet — 1987
• Some characterizations of Bruhat ordering on a Coxeter group and determination of the relative Möbius functionVinay V. Deodhar — 1977
• Combinatorial Geometries, Convex Polyhedra, and Schubert CellsIsrael M. Gelfand, R. Mark Goresky, Robert MacPherson — 1987
• The lattice of flats and its underlying flag matroid polytopeAlexandre Borovik, Israel M. Gelfand, Andrew Vince — 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
• SOME CHARACTERIZATIONS OF COXETER GROUPSDeodhar, Vinay V. — 1986
• Groups of Lie Type and their Geometries: Coxeter groups and matroidsA. Borovik, K. Roberts — 1995

Cited by

• Lagrangian Matroids: Representations of Type B_nRichard Booth, Alexandre Borovik, Neil White — 2002
• Lagrangian pairs and Lagrangian orthogonal matroidsRichard Booth, Alexandre Borovik, Neil White — 2002
• Oriented Lagrangian Orthogonal Matroid RepresentationsRichard Booth — 2000
• A circuit axiomatisation of Lagrangian matroidsRichard Booth, Maria Leonor Moreira, Maria Rosário Pinto — 2003
• Matroids and Coxeter groupsA. Borovik, C. Wensley — 2003
• Se p 20 02 Lagrangian Matroids : Representations of Type B nRichard F. Booth, A. Borovik, N. White — 2002

Related papers

• Geometric representations of Coxeter groups with respect to asymmetric bilinear formsRobert G. Donnelly — 2007
• Some combinatorial models for reduced expressions in Coxeter groupsHugh Denoncourt — 2011
• Preprojective roots of Coxeter groupsMark Kleiner — 2017
• Roots of asymmetric geometric representations of Coxeter groupsRobert G. Donnelly — 2007
• A Characterization of the Simply-Laced FC-Finite Coxeter GroupsManabu Hagiwara, Masao Ishikawa, Hiroyuki Tagawa — 2004
• Subword complexes in Coxeter groupsAllen Knutson, Ezra Miller — 2003