Tanisaki quotient conjecture for the modules Vn=(a)V_n^=({\mathbf a})Vn=(a)
Let r≤nr\leq nr≤n be nonnegative integers, put k=n−rk=n-rk=n−r, and let a∈(Z≥0)r{\mathbf a}\in({\mathbb Z}_{\geq0})^ra∈(Z≥0)r. Define Vn=(a)V_n^=({\mathbf a})Vn=(a) as the associated graded quotient for the component…