Structure of the Hecke algebra L(G,U0) where G=GL2(QP) and U0 is a principal congruence subgroup

The algebra mentioned in the title is isomorphic with a certain subalgebra of the algebra of matrices of order (p–1)² p(p+1) over the ring of polynomials of two variables and yields an example of a noncommutative Hecke algebra.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 100, pp. 5–16, 1980.