scholarly journals On the shape of Bruhat intervals

2009 ◽  
Vol 170 (2) ◽  
pp. 799-817 ◽  
Author(s):  
Anders Björner ◽  
Torsten Ekedahl
Keyword(s):  
Bruhat Intervals

scholarly journals Weak Generalized Lifting Property, Bruhat Intervals, and Coxeter Matroids

2020 ◽  
Author(s):  
Fabrizio Caselli ◽  
Michele D’Adderio ◽  
Mario Marietti
Keyword(s):  
Coxeter Group ◽  
Coxeter Groups ◽  
Combinatorial Properties ◽  
Coxeter Matroid ◽  
Finite Coxeter Group ◽  
Bruhat Intervals

Abstract We provide a weaker version of the generalized lifting property that holds in complete generality for all Coxeter groups, and we use it to show that every parabolic Bruhat interval of a finite Coxeter group is a Coxeter matroid. We also describe some combinatorial properties of the associated polytopes.

scholarly journals From Bruhat intervals to intersection lattices and a conjecture of Postnikov

2009 ◽  
Vol 116 (3) ◽  
pp. 564-580 ◽  
Author(s):  
Axel Hultman ◽  
Svante Linusson ◽  
John Shareshian ◽  
Jonas Sjöstrand
Keyword(s):  
Bruhat Intervals

scholarly journals An Abstract Model for Bruhat Intervals

2000 ◽  
Vol 21 (2) ◽  
pp. 197-222 ◽  
Author(s):  
Fokko du Cloux
Keyword(s):  
Abstract Model ◽  
Bruhat Intervals

scholarly journals The generalized lifting property of Bruhat intervals

2016 ◽  
Vol 45 (3) ◽  
pp. 687-700 ◽  
Author(s):  
Fabrizio Caselli ◽  
Paolo Sentinelli
Keyword(s):  
Bruhat Intervals
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