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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
JCT
2011
100views more  JCT 2011»
12 years 12 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 4 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 4 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»
12 years 12 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