Generalised Temperley-Lieb algebras of type $G(r,1,n)$

Gus Lehrer, Mengfan Lyu

In this paper, we define a quotient of the cyclotomic Hecke algebra of type $G(r,1,n)$ as a generalisation of the Temperley-Lieb algebras of type $A$ and $B$. We establish a graded…