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Generalized associahedra via quiver representations
Author(s):
Robert
Marsh;
Markus
Reineke;
Andrei
Zelevinsky
Journal:
Trans. Amer. Math. Soc.
355
(2003),
4171-4186.
MSC (2000):
Primary 52B11, 16G20, 17B20;
Secondary 17B37, 05E99
Posted:
June 10, 2003
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Abstract:
We provide a quiver-theoretic interpretation of certain smooth complete simplicial fans associated to arbitrary finite root systems in recent work of S. Fomin and A. Zelevinsky. The main properties of these fans then become easy consequences of the known facts about tilting modules due to K. Bongartz, D. Happel and C. M. Ringel.
References:
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Additional Information:
Robert
Marsh
Affiliation:
Department of Mathematics and Computer Science, University of Leicester, University Road, Leicester LE1 7RH, England
Email:
R.Marsh@mcs.le.ac.uk
Markus
Reineke
Affiliation:
BUGH Wuppertal, Gaußstraße 20, D-42097 Wuppertal, Germany
Email:
reineke@math.uni-wuppertal.de
Andrei
Zelevinsky
Affiliation:
Department of Mathematics, Northeastern University, Boston, Massachusetts 02115
Email:
andrei@neu.edu
DOI:
10.1090/S0002-9947-03-03320-8
PII:
S 0002-9947(03)03320-8
Received by editor(s):
May 26, 2002
Received by editor(s) in revised form:
February 8, 2003
Posted:
June 10, 2003
Additional Notes:
Andrei Zelevinsky's research was supported in part by NSF grants \#DMS-9971362 and DMS-0200299. Robert Marsh's research was supported in part by EPSRC grant GR/R17546/01. All authors were supported in part by a University of Leicester Research Fund Grant
Copyright of article:
Copyright
2003,
by Robert Marsh, Markus Reineke, and Andrei Zelevinsky
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