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JCT
2006
109views more  JCT 2006»
13 years 11 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
JCT
2011
100views more  JCT 2011»
13 years 6 months ago
On polynomial integrals over the orthogonal group
We consider integrals of type On ua1 11 . . . uan 1nub1 21 . . . ubn 2n du, with respect to the Haar measure on the orthogonal group. We establish several remarkable invariance pro...
Teodor Banica, Benoit Collins, Jean-Marc Schlenker
DCG
1998
66views more  DCG 1998»
13 years 10 months ago
The Volume as a Metric Invariant of Polyhedra
It is proved that in R3 the volume of any polyhedron is a root of some polynomial with coefficients depending only on the combinatorial structure and the metric of the polyhedron....
Idzhad Kh. Sabitov
TCS
2008
13 years 11 months ago
The weak lambda calculus as a reasonable machine
We define a new cost model for the call-by-value lambda-calculus satisfying the invariance thesis. That is, under the proposed cost model, Turing machines and the call-by-value la...
Ugo Dal Lago, Simone Martini
JCT
2011
87views more  JCT 2011»
13 years 6 months ago
Chain enumeration of k-divisible noncrossing partitions of classical types
We give combinatorial proofs of the formulas for the number of multichains in the k-divisible noncrossing partitions of classical types with certain conditions on the rank and the ...
Jang Soo Kim