On fully commutative elements of type $\tilde{B}$ and $\tilde{D}$

Sadek AL Harbat

We define a tower of injections of $\tilde{B}$-type (resp. $\tilde{D}$-type) Coxeter groups $W({\tilde{B}}_n)$ (resp. $W({\tilde{D}}_n)$) for $n\ge 3$. Let $W^c({\tilde{B}}_n)$ (resp…