dc.contributor.author
Pilaud, Vincent
dc.contributor.author
Santos, Francisco
dc.contributor.author
Ziegler, Günter M.
dc.date.accessioned
2024-03-15T08:16:50Z
dc.date.available
2024-03-15T08:16:50Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/42838
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-42554
dc.description.abstract
We survey Jean-Louis Loday’s vertex description of the associahedron, and its far reaching influence in combinatorics, discrete geometry, and algebra. We present in particular four topics where it plays a central role: lattice congruences of the weak order and their quotientopes, cluster algebras and their generalized associahedra, nested complexes and their nestohedra, and operads and the associahedron diagonal.
en
dc.format.extent
43 Seiten
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Associahedron
en
dc.subject
Hopf algebras
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik::510 Mathematik
dc.title
Celebrating Loday’s associahedron
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.1007/s00013-023-01895-6
dcterms.bibliographicCitation.journaltitle
Archiv der Mathematik
dcterms.bibliographicCitation.number
5-6
dcterms.bibliographicCitation.pagestart
559
dcterms.bibliographicCitation.pageend
601
dcterms.bibliographicCitation.volume
121
dcterms.bibliographicCitation.url
https://doi.org/10.1007/s00013-023-01895-6
refubium.affiliation
Mathematik und Informatik
refubium.affiliation.other
Institut für Mathematik
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1420-8938
refubium.resourceType.provider
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