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Generalized Noncrossing Partitions And Combinatorics Of Coxeter Groups Drew Armstrong

SKU: BELL-5251482

$ 31.00 ~~$ 45.00~~ (-31%)

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Generalized Noncrossing Partitions And Combinatorics Of Coxeter Groups Drew Armstrong instant download after payment.

Publisher: Amer Mathematical Society

File Extension: PDF

File size: 1.29 MB

Pages: 176

Author: Drew Armstrong

ISBN: 9780821844908, 0821844903

Language: English

Year: 2009

Product desciption

Generalized Noncrossing Partitions And Combinatorics Of Coxeter Groups Drew Armstrong by Drew Armstrong 9780821844908, 0821844903 instant download after payment.

This memoir is a refinement of the author's PhD thesis - written at Cornell University (2006). It is primarily a description 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