Geodesic
A geometric and combinatorial exploration of Hochschild lattices
Camille Combe1
1Université de Paris, IRIF
The electronic journal of combinatorics, Tome 28 (2021) no. 2

Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website

Zbl DOI arXiv
Hochschild lattices are specific intervals in the dexter meet-semilattices recently introduced by Chapoton. A natural geometric realization of these lattices leads to some cell complexes introduced by Saneblidze, called the Hochschild polytopes. We obtain several geometrical properties of the Hochschild lattices, namely we give cubic realizations, establish that these lattices are EL-shellable, and show that they are constructible by interval doubling. We also prove several combinatorial properties as the enumeration of their $k$-chains and compute their degree polynomials.
DOI : 10.37236/9929
Classification : 06A07, 06B05, 05A15

Camille Combe  1

1 Université de Paris, IRIF 
Camille Combe. A geometric and combinatorial exploration of Hochschild lattices. The electronic journal of combinatorics, Tome 28 (2021) no. 2. doi: 10.37236/9929
@article{10_37236_9929,
     author = {Camille Combe},
     title = {A geometric and combinatorial exploration of {Hochschild} lattices},
     journal = {The electronic journal of combinatorics},
     year = {2021},
     volume = {28},
     number = {2},
     doi = {10.37236/9929},
     zbl = {1542.06006},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/9929/}
}
TY  - JOUR
AU  - Camille Combe
TI  - A geometric and combinatorial exploration of Hochschild lattices
JO  - The electronic journal of combinatorics
PY  - 2021
VL  - 28
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.37236/9929/
DO  - 10.37236/9929
ID  - 10_37236_9929
ER  - 
%0 Journal Article
%A Camille Combe
%T A geometric and combinatorial exploration of Hochschild lattices
%J The electronic journal of combinatorics
%D 2021
%V 28
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/9929/
%R 10.37236/9929
%F 10_37236_9929

Cité par Sources :