Journal of Soviet Mathematics

, Volume 19, Issue 6, pp 1621–1629 | Cite as

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

  • E. P. Golubeva
Article
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Abstract

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.

Keywords

Congruence Subgroup Principal Congruence Principal Congruence Subgroup 
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Literature cited

  1. 1.
    I. Satake, “Theory of spherical functions on reductive algebraic groups over p -adic fields,” Publ. Math. IHES,18, 229–293 (1963).Google Scholar
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    T. Tamagava, “On the ζ-functions of a division algebra,” Ann. Math.,77, No. 2, 387–405 (1963).Google Scholar
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    A. N. Andrianov, “Rationality theorems for Hecke series and zeta functions of the groups GLn, and SPn over local fields,” Izv. Akad. Nauk SSSR, Ser. Mat.,33, No. 3, 466–505 (1969).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • E. P. Golubeva

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