Further results on the paramodular Hecke algebra

In this paper we further examine the structure of the graded paramodular Hecke algebra $\mathcal H$. We define a commutative subring $\mathcal{H}^α$ of $\mathcal{H}$ as the elements fixed by a certain automorphism $α$, and we show that the elements $T(q^k)$, defined as the sum of the double cosets o