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PreprintCC BY-SA 4.0HAL

From cambrian lattices of rank 4 to cambrian lattices of rank 3

  • Frédéric Chapoton
Open at sourcePDFCite

Abstract

We introduce a procedure that, starting from some Dynkin diagrams of rank 4, produces some interesting partial orders. Whereas types A4, B4 and H4 lead to cambrian lattices of types A3, B3 and H3, type F4 leads to a new partial order of cardinality 24.

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Cite

BibTeXRIS
BibTeX
@misc{chapoton2026from,
  title = {{From cambrian lattices of rank 4 to cambrian lattices of rank 3}},
  author = {Frédéric Chapoton},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  url = {https://hal.science/hal-05748660v1},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - From cambrian lattices of rank 4 to cambrian lattices of rank 3
AU  - Frédéric Chapoton
PY  - 2026
DA  - 2026/09/14
PB  - HAL
UR  - https://hal.science/hal-05748660v1
AB  - We introduce a procedure that, starting from some Dynkin diagrams of rank 4, produces some interesting partial orders. Whereas types A4, B4 and H4 lead to cambrian lattices of types A3, B3 and H3, type F4 leads to a new partial order of cardinality 24.
ER  -