In the recent paper [Adv. Applied Math., 38 (2007), 210-226] it is proved that the special matchings of permutations generate a Coxeter group. In this paper we generalize this result to a class of Coxeter groups which includes many Weyl and affine Weyl groups. Our proofs are simpler, and shorter, than those in [loc. cit.]
In 1979 Kazhdan and Lusztig defined, for every Coxeter group W, a family of polynomials, indexed by ...
We give a simple characterization of special matchings in lower Bruhat intervals (that is, intervals...
The isomorphism problem of Coxeter\ud groups and related topics\ud Koji NUIDA12\ud Graduate School o...
In the recent paper [Adv. Applied Math., 38 (2007), 210-226] it is proved that the special matchings...
AbstractFor any permutation v, we show that the special matchings of v generate a Coxeter system. Th...
For any permutation v, we show that the special matchings of v generate a Coxeter system. This gives...
Special matchings are purely combinatorial objects associated with a partially ordered set, which ha...
AbstractIn 1979 Kazhdan and Lusztig defined, for every Coxeter group W, a family of polynomials, ind...
Among the Coxeter groups most studied there are finite Coxeter groups and Weyl affine groups. For ea...
In 1979 Kazhdan and Lusztig defined, for every Coxeter group W, a family of polynomials, indexed by ...
We give a simple characterization of special matchings in lower Bruhat intervals (that is, intervals...
The isomorphism problem of Coxeter\ud groups and related topics\ud Koji NUIDA12\ud Graduate School o...
In the recent paper [Adv. Applied Math., 38 (2007), 210-226] it is proved that the special matchings...
AbstractFor any permutation v, we show that the special matchings of v generate a Coxeter system. Th...
For any permutation v, we show that the special matchings of v generate a Coxeter system. This gives...
Special matchings are purely combinatorial objects associated with a partially ordered set, which ha...
AbstractIn 1979 Kazhdan and Lusztig defined, for every Coxeter group W, a family of polynomials, ind...
Among the Coxeter groups most studied there are finite Coxeter groups and Weyl affine groups. For ea...
In 1979 Kazhdan and Lusztig defined, for every Coxeter group W, a family of polynomials, indexed by ...
We give a simple characterization of special matchings in lower Bruhat intervals (that is, intervals...
The isomorphism problem of Coxeter\ud groups and related topics\ud Koji NUIDA12\ud Graduate School o...
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