Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups is popular PDF and ePub book, written by Drew Armstrong in 2009-10-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups can be Read Online from any device for your convenience.
Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups Book PDF Summary
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.
Detail Book of Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups PDF
- Author : Drew Armstrong
- Release : 08 October 2009
- Publisher : American Mathematical Soc.
- ISBN : 9780821844908
- Genre : Mathematics
- Total Page : 176 pages
- Language : English
- PDF File Size : 20,9 Mb
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