Subregular $J$-rings of Coxeter systems via quiver path algebras

Ivan Dimitrov, Charles Paquette, David Wehlau +1

We study the subregular $J$-ring $J_C$ of a Coxeter system $(W,S)$, a subring of Lusztig's $J$-ring. We prove that $J_C$ is isomorphic to a quotient of the path algebra of the doub…