8 citations · 23 across the 18 of their papers we have counts for
Showing 2023Show all
3 papers · 1 filter
math.RT2023
Elements of minimal length and Bruhat order on fixed point cosets of Coxeter groups
Nathan Chapelier-Laget, Thomas Gobet
We study the restriction of the strong Bruhat order on an arbitrary Coxeter group to cosets , where is an element of and the subgroup of fixed points o…
math.GR2023
On maximal dihedral reflection subgroups and generalized noncrossing partitions
Thomas Gobet
In this note, we give a new proof of a result of Matthew Dyer stating that in an arbitrary Coxeter group , every pair of distinct reflections lie in a unique maximal dihe…
math.CO2023
Odd and even Fibonacci lattices arising from a Garside monoid
Thomas Gobet, Baptiste Rognerud
We study two families of lattices whose number of elements are given by the numbers in even (respectively odd) positions in the Fibonacci sequence. The even Fibonacci lattice arise…