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Polytopal realizations of non-crystallographic associahedra
Felikson, Anna1; Tumarkin, Pavel1; Yıldırım, Emine2
1 Department of Mathematical Sciences Durham University Upper Mountjoy Campus Stockton Road Durham DH1 3LE UK
2 School of Mathematics University of Leeds Leeds LS2 9JT UK
Algebraic Combinatorics, Volume 8 (2025) no. 1, pp. 17-28.

We use the folding technique to show that generalized associahedra for non-simply-laced root systems (including non-crystallographic ones) can be obtained as sections of simply-laced generalized associahedra constructed by Bazier-Matte, Chapelier-Laget, Douville, Mousavand, Thomas and Yıldırım.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/alco.402
Classification: 13F60, 20F55, 51F15
Keywords: generalized associahedron, unfolding, g-vector fan

Felikson, Anna 1; Tumarkin, Pavel 1; Yıldırım, Emine 2

1 Department of Mathematical Sciences Durham University Upper Mountjoy Campus Stockton Road Durham DH1 3LE UK
2 School of Mathematics University of Leeds Leeds LS2 9JT UK
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Felikson, Anna; Tumarkin, Pavel; Yıldırım, Emine. Polytopal realizations of non-crystallographic associahedra. Algebraic Combinatorics, Volume 8 (2025) no. 1, pp. 17-28. doi : 10.5802/alco.402. https://alco.centre-mersenne.org/articles/10.5802/alco.402/

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