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Chapoton, Frédéric; Fomin, Sergey; Zelevinsky, Andrei. Polytopal Realizations of Generalized Associahedra. Canadian mathematical bulletin, Tome 45 (2002) no. 4, pp. 537-566. doi: 10.4153/CMB-2002-054-1
@article{10_4153_CMB_2002_054_1,
author = {Chapoton, Fr\'ed\'eric and Fomin, Sergey and Zelevinsky, Andrei},
title = {Polytopal {Realizations} of {Generalized} {Associahedra}},
journal = {Canadian mathematical bulletin},
pages = {537--566},
year = {2002},
volume = {45},
number = {4},
doi = {10.4153/CMB-2002-054-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-054-1/}
}
TY - JOUR AU - Chapoton, Frédéric AU - Fomin, Sergey AU - Zelevinsky, Andrei TI - Polytopal Realizations of Generalized Associahedra JO - Canadian mathematical bulletin PY - 2002 SP - 537 EP - 566 VL - 45 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-054-1/ DO - 10.4153/CMB-2002-054-1 ID - 10_4153_CMB_2002_054_1 ER -
%0 Journal Article %A Chapoton, Frédéric %A Fomin, Sergey %A Zelevinsky, Andrei %T Polytopal Realizations of Generalized Associahedra %J Canadian mathematical bulletin %D 2002 %P 537-566 %V 45 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2002-054-1/ %R 10.4153/CMB-2002-054-1 %F 10_4153_CMB_2002_054_1
[1] [1] Bott, R. and Taubes, C., On the self-linking of knots. Topology and physics. J. Math. Phys. (10) 35 (1994), 5247–5287. Google Scholar
[2] [2] Bourbaki, N., Groupes et algèbres de Lie. Chapters IV-VI, Hermann, Paris, 1968. Google Scholar
[3] [3] Devadoss, S. L., A space of cyclohedra. Electronic preprint math. QA/0102166. Google Scholar
[4] [4] Fomin, S. and Zelevinsky, A., Cluster algebras I: Foundations. J. Amer. Math. Soc., to appear. Google Scholar
[5] [5] Fomin, S. and Zelevinsky, A., Y-systems and generalized associahedra. Electronic preprint hep-th/0111053, November, 2001. Google Scholar
[6] [6] Gelfand, I., Kapranov, M., and Zelevinsky, A., Discriminants, Resultants and Multidimensional Determinants. Birkhäuser Boston, 1994. Google Scholar
[7] [7] Kac, V., Infinite dimensional Lie algebras. 3rd edition, Cambridge University Press, 1990. Google Scholar
[8] [8] Lee, C. W., The associahedron and triangulations of the n-gon. European J. Combin. (6) 10 (1989), 551–560. Google Scholar
[9] [9] Markl, M., Simplex, associahedron, and cyclohedron. Contemp.Math. 227 (1999), 235–265. Google Scholar
[10] [10] Reiner, V., Non-crossing partitions for classical reflection groups. Discrete Math. 177 (1997), 195–222. Google Scholar
[11] [11] Simion, R., Noncrossing partitions. Discrete Math. (1–3) 217 (2000), 367–409. Google Scholar
[12] [12] Simion, R., A type-B associahedron. Adv. in Appl. Math., to appear. Google Scholar
[13] [13] Stasheff, J. D., Homotopy associativity of H-spaces. I, II. Trans. Amer.Math. Soc. 108 (1963), 275–292, 293–312. Google Scholar
[14] [14] Stasheff, J. D., From operads to .physically. inspired theories. Contemp.Math. 202 (1997), 53–81. Google Scholar
[15] [15] Ziegler, G. M., Lectures on polytopes. Springer-Verlag, New York, 1995. Google Scholar
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