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On the Hecke Algebra of a Noncongruence Subgroup
Author(s) -
Scholl A. J.
Publication year - 1997
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609396002639
Subject(s) - mathematics , hecke algebra , hecke operator , normal subgroup , algebra over a field , sl2(r) , mathematics subject classification , modular form , pure mathematics , modular group , maximal subgroup , characteristic subgroup , combinatorics , group (periodic table) , chemistry , organic chemistry
Let Γ⊂SL 2 (Z) be a subgroup of finite index, and let H denote the Hecke algebra of Γ. The aim of this note is to give some information about the action of H on spaces of modular forms for certain noncongruence subgroups Γ, which can be deduced from the geometric results of [ 9 ]. 1991 Mathematics Subject Classification 11F11, 11G18.