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ISSAC
2007
Springer
91views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Generation and optimisation of code using coxeter lattice paths
Supercomputing applications usually involve the repeated parallel application of discretized differential operators. Difficulties arise with higher-order discretizations of opera...
Thomas J. Ashby, Anthony D. Kennedy, Stephen M. Wa...
DAGSTUHL
2006
13 years 6 months ago
Coxeter Lattice Paths
Supercomputing applications usually involve the repeated parallel application of discretized differential operators. Difficulties arise with higher-order discretizations their com...
Thomas J. Ashby, Anthony D. Kennedy, Stephen M. Wa...
JCT
2006
109views more  JCT 2006»
13 years 4 months ago
On the combinatorial invariance of Kazhdan-Lusztig polynomials
We prove that the Kazhdan-Lusztig polynomials are combinatorial invariants for intervals up to length 8 in Coxeter groups of type A and up to length 6 in Coxeter groups of type B a...
Federico Incitti
EJC
2010
13 years 5 months ago
Connectivity of chamber graphs of buildings and related complexes
Let be a finite building (or, more generally, a thick spherical and locally finite building). The chamber graph G(), whose edges are the pairs of adjacent chambers in , is known t...
Anders Björner, Kathrin Vorwerk
COMBINATORICS
2004
76views more  COMBINATORICS 2004»
13 years 4 months ago
Geometrically Constructed Bases for Homology of Partition Lattices
Abstract. We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "sp...
Anders Björner, Michelle L. Wachs