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Título: Generalized Noncrossing Partitions And Combinatorics Of Coxeter Groups | |
| Autor: Armstrong Drew | Precio: $910.71 | |
| Editorial: American Mathematical Society | Año: 2009 | |
| Tema: Matematicas, Textos, Teorias | Edición: 1ª | |
| Sinopsis | ISBN: 9780821844908 | |
| This memoir is a refinement of the author's PhD thesis -- written at Cornell University (2006). It is primarily a desription of new research but also includes a substantial amount of background material. At the heart of the memoir the author introduces and studies a poset NC^{(k)}(W) for each finite Coxeter group W and each positive integer k. When k=1, his definition coincides with the generalized noncrossing partitions introduced by Brady and Watt in K(\pi, 1)'s for Artin groups of finite type and Bessis in The dual braid monoid. When W is the symmetric group, the author obtains the poset of classical k-divisible noncrossing partitions, first studied by Edelman in Chain enumeration and non-crossing partitions.
Table of Contents Introduction Coxeter groups and noncrossing partitions k-divisible noncrossing partitions The classical types Fuss-Catalan combinatorics Bibliography |
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