Summary: ISRAEL JOURNAL OF MATHEMATICS 167 (2008), 177­191
DOI: 10.1007/s11856-008-1046-6
SHELLABILITY AND HIGHER
COHEN-MACAULAY CONNECTIVITY OF
GENERALIZED CLUSTER COMPLEXES
BY
Christos A. Athanasiadis
Department of Mathematics (Division of Algebra-Geometry), University of Athens
Panepistimioupolis, 15784 Athens, Greece
e-mail: caath@math.uoa.gr
AND
Eleni Tzanaki
Department of Mathematics, University of Crete
71409 Heraklion, Crete, Greece
e-mail: etzanaki@math.uoc.gr
ABSTRACT
Let be a finite root system of rank n and let m be a nonnegative integer.
The generalized cluster complex m() was introduced by S. Fomin and
N. Reading. It was conjectured by these authors that m() is shellable
and by V. Reiner that it is (m + 1)-Cohen-Macaulay, in the sense of Ba-

Source: Athanasiadis, Christos - Department of Mathematics, University of Athens

Collections: Mathematics