The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms
The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms
We propose a definition by generators and relations of the rank $n-2$ Askey-Wilson algebra $\mathfrak{aw}(n)$ for any integer $n$, generalising the known presentation for the usual case $n=3$. The generators are indexed by connected subsets of $\{1,\dots,n\}$ and the simple and rather small set of defining relations is directly inspired …