Brick polytopes, lattices and Hopf algebras
Generalizing the connection between the classes of the sylvester congruence and the binary trees, we show that the classes of the congruence of the weak order on Sn defined as the transitive closure of the rewriting rule UacV1b1 ···VkbkW ≡k UcaV1b1 ···VkbkW, for letters a < b1,...,bk < c and w...
Main Author: | Vincent Pilaud |
---|---|
Format: | Article |
Language: | English |
Published: |
Discrete Mathematics & Theoretical Computer Science
2020-04-01
|
Series: | Discrete Mathematics & Theoretical Computer Science |
Subjects: | |
Online Access: | https://dmtcs.episciences.org/6401/pdf |
Similar Items
-
A Hopf algebra of subword complexes (Extended abstract)
by: Nantel Bergeron, et al.
Published: (2020-04-01) -
Almost simplicial polytopes: the lower and upper bound theorems
by: Eran Nevo, et al.
Published: (2020-04-01) -
Compatibility fans realizing graphical nested complexes
by: Thibault Manneville, et al.
Published: (2020-04-01) -
Defining amplituhedra and Grassmann polytopes
by: Steven N. Karp
Published: (2020-04-01) -
On (non-) freeness of some tridendriform algebras
by: Vincent Vong
Published: (2020-04-01)