Joshua Marsh and Nathan Williams
Department of Mathematical Sciences
800 W. Campbell Road
Richardson, TX 75080
Antichains of root posets associated with simple complex Lie algebras
are a well-studied combinatorial object, famously counted by the
Coxeter-Catalan numbers. In this paper, we study chains in root posets
using standard enumerative techniques. The factorizations of the zeta
polynomials of these root posets gives rise to sequences that have similar
numerological properties as the exponents of the Weyl group.
Full version: pdf,
(Concerned with sequences
Received August 11 2022; revised version received October 10 2022.
Published in Journal of Integer Sequences,
October 26 2022.
Journal of Integer Sequences home page