When is the ring of $T$ invariants of the homogeneous coordinate ring of $G/B$ a polynomial algebra- connection with the Coxeter elements

S. Senthamarai Kannan, B. Narasimha Chary, Santosha Kumar Pattanayak

In this article, we prove that for any indecomposable dominant character of a maximal torus $T$ of a simple adjoint group $G$ such that there is a Coxeter element $w\in W$ for whi…