Generalized Noncrossing Partitions and Combinatorics of Coxeter Groups (Memoirs of the American Mathematical Society, Band 949) - Softcover

Armstrong, Drew

Softcover

ISBN 10: 0821844903 ISBN 13: 9780821844908

Verlag: American Mathematical Society, 2009

Inhaltsangabe

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.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2009
• Sprache: Englisch
• ISBN 10: 0821844903
• ISBN 13: 9780821844908
• Einband: Taschenbuch
• Anzahl der Seiten: 159
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar