What are the generators for the (k,r)-quotient of the Hecke algebras of type A? Just two extra projections onto the reps. corresponding to Young digarams with 1-row of length r-k+1 and that with 1-column of length k+1?

What are generators for the kernel of the (k,r)-quotient of the Hecke algebras of type A? Are just the two projections onto the reps. corresponding to Young digarams with 1-row of length r-k+1 and that with 1-column of length k+1 enough?