Hochschild polytopes

Vincent Pilaud; Daria Poliakova

Hochschild polytopes

Vincent Pilaud^*, Daria Poliakova

^*Kontaktforfatter

University of Barcelona

Publikation: Kapitel i bog/rapport/konference-proceeding › Konferencebidrag i proceedings › Forskning › peer review

Abstract

The (m, n)-multiplihedron is a polytope whose faces correspond to m-painted n-trees. Deleting certain inequalities from its facet description, we obtain the (m, n)Hochschild polytope whose faces correspond to m-lighted n-shades. Moreover, there is a natural shadow map from m-painted n-trees to m-lighted n-shades, which defines a meet semilattice morphism of rotation lattices. In particular, when m = 1, our Hochschild polytope is a deformed permutahedron realizing the Hochschild lattice.

Originalsprog	Engelsk
Titel	Proceedings of the 36th Conference on Formal Power and Series and Algebraic Combinatorics
Antal sider	12
Publikationsdato	1. apr. 2024
Artikelnummer	1
Status	Udgivet - 1. apr. 2024
Begivenhed	36th International Conference on Formal Power Series and Algebraic Combinatorics: FPSAC 2024 - Bochum, Tyskland Varighed: 22. jul. 2024 → 26. jul. 2024

Konference

Konference	36th International Conference on Formal Power Series and Algebraic Combinatorics
Land/Område	Tyskland
By	Bochum
Periode	22/07/2024 → 26/07/2024

Navn	Séminaire Lotharingien de Combinatoire
Vol/bind	91B
ISSN	1286-4889

Bibliografisk note

Publisher Copyright:
© (2024), (Seminaire Lotharingien de Combinatoire). All rights reserved.

Dokumenter og links

https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2024/1.htmlLicens: Kun læseadgang

SDU link

Tjek adgangen til materialet i Syddansk Universitetsbiblioteks søgemaskine

Citationsformater

@inproceedings{b2f4393194b44336bcfef3ace0295fb7,

title = "Hochschild polytopes",

abstract = "The (m, n)-multiplihedron is a polytope whose faces correspond to m-painted n-trees. Deleting certain inequalities from its facet description, we obtain the (m, n)Hochschild polytope whose faces correspond to m-lighted n-shades. Moreover, there is a natural shadow map from m-painted n-trees to m-lighted n-shades, which defines a meet semilattice morphism of rotation lattices. In particular, when m = 1, our Hochschild polytope is a deformed permutahedron realizing the Hochschild lattice.",

keywords = "Freehedron, Hochschild lattice, Multiplihedron, Quotient",

author = "Vincent Pilaud and Daria Poliakova",

note = "Publisher Copyright: {\textcopyright} (2024), (Seminaire Lotharingien de Combinatoire). All rights reserved.; 36th International Conference on Formal Power Series and Algebraic Combinatorics : FPSAC 2024 ; Conference date: 22-07-2024 Through 26-07-2024",

year = "2024",

month = apr,

day = "1",

language = "English",

series = "S{\'e}minaire Lotharingien de Combinatoire",

booktitle = "Proceedings of the 36th Conference on Formal Power and Series and Algebraic Combinatorics",

}

Pilaud, V & Poliakova, D 2024, Hochschild polytopes. i Proceedings of the 36th Conference on Formal Power and Series and Algebraic Combinatorics ., 1, Séminaire Lotharingien de Combinatoire, bind 91B, 36th International Conference on Formal Power Series and Algebraic Combinatorics, Bochum, Tyskland, 22/07/2024. <https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2024/1.html>

TY - GEN

T1 - Hochschild polytopes

AU - Pilaud, Vincent

AU - Poliakova, Daria

PY - 2024/4/1

Y1 - 2024/4/1

N2 - The (m, n)-multiplihedron is a polytope whose faces correspond to m-painted n-trees. Deleting certain inequalities from its facet description, we obtain the (m, n)Hochschild polytope whose faces correspond to m-lighted n-shades. Moreover, there is a natural shadow map from m-painted n-trees to m-lighted n-shades, which defines a meet semilattice morphism of rotation lattices. In particular, when m = 1, our Hochschild polytope is a deformed permutahedron realizing the Hochschild lattice.

AB - The (m, n)-multiplihedron is a polytope whose faces correspond to m-painted n-trees. Deleting certain inequalities from its facet description, we obtain the (m, n)Hochschild polytope whose faces correspond to m-lighted n-shades. Moreover, there is a natural shadow map from m-painted n-trees to m-lighted n-shades, which defines a meet semilattice morphism of rotation lattices. In particular, when m = 1, our Hochschild polytope is a deformed permutahedron realizing the Hochschild lattice.

KW - Freehedron

KW - Hochschild lattice

KW - Multiplihedron

KW - Quotient

M3 - Article in proceedings

AN - SCOPUS:85212348662

T3 - Séminaire Lotharingien de Combinatoire

BT - Proceedings of the 36th Conference on Formal Power and Series and Algebraic Combinatorics

T2 - 36th International Conference on Formal Power Series and Algebraic Combinatorics

Y2 - 22 July 2024 through 26 July 2024

ER -

Hochschild polytopes

Abstract

Konference

Bibliografisk note

Dokumenter og links

SDU link

Fingeraftryk

Citationsformater