Generalized noncrossing partitions and combinatorics of coxeter groups. Memoirs of the American Mathematical Society; 949.

Armstrong, Drew

ISBN 10: 0821844903 / ISBN 13: 9780821844908

Published by Providence, American Math. Soc, 2009

About this Item

Ex-library in GOOD condition with library-signature and stamp(s). Some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-00292 9780821844908 Sprache: Englisch Gewicht in Gramm: 150.

Seller Inventory # 2482801

Bibliographic Details

• Title: Generalized noncrossing partitions and combinatorics of coxeter groups. Memoirs of the American Mathematical Society; 949.
• Publisher: Providence, American Math. Soc
• Publication Date: 2009
• Language: English
• ISBN 10: 0821844903
• ISBN 13: 9780821844908
• Binding: Softcover
• Condition: Gut
• Weight: 150 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.