Vertex barycenter of generalized associahedra
Authors:
Vincent Pilaud and Christian Stump
Journal:
Proc. Amer. Math. Soc. 143 (2015), 2623-2636
MSC (2010):
Primary 52B15; Secondary 13F60, 52B05
DOI:
https://doi.org/10.1090/S0002-9939-2015-12357-X
Published electronically:
February 11, 2015
MathSciNet review:
3326042
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Abstract | References | Similar Articles | Additional Information
Abstract: We show that the vertex barycenter of generalized associahedra and permutahedra coincide for any finite Coxeter system.
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Additional Information
Vincent Pilaud
Affiliation:
CNRS and LIX, École Polytechnique, 91128 Palaiseau, France
MR Author ID:
860480
Email:
vincent.pilaud@lix.polytechnique.fr
Christian Stump
Affiliation:
Institut für Algebra, Zahlentheorie, Diskrete Mathematik, Universität Hannover, Hannover, Germany
Address at time of publication:
Diskrete Geometrie, Freie Universität Berlin, Arnimallee 2, 14195 Berlin, Germany
MR Author ID:
904921
ORCID:
0000-0002-9271-8436
Email:
stump@math.uni-hannover.de, christian.stump@fu-berlin.de
Received by editor(s):
October 16, 2012
Received by editor(s) in revised form:
September 9, 2013
Published electronically:
February 11, 2015
Additional Notes:
The first author was supported by the Spanish MICINN grant MTM2011-22792, by the French ANR grant EGOS 12 JS02 002 01, and by the European Research Project ExploreMaps (ERC StG 208471).
Communicated by:
Jim Haglund
Article copyright:
© Copyright 2015
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
