Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups (eBook)

Drew Armstrong (Autor)

eBook Download: PDF

159 Seiten
American Mathematical Society (Verlag)
978-1-4704-0563-2 (ISBN)

Infos

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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• ISBN-10: 1-4704-0563-6 / 1470405636
• ISBN-13: 978-1-4704-0563-2 / 9781470405632