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.]
Special matchings and Coxeter groups / F. CASELLI; F. BRENTI; M. MARIETTI. - In: ARCHIV DER MATHEMATIK. - ISSN 0003-889X. - STAMPA. - 89:(2007), pp. 298-310. [10.1007/s00013-007-2207-2]
Special matchings and Coxeter groups
CASELLI, FABRIZIO;
2007
Abstract
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.]File in questo prodotto:
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