We use a linear algebra interpretation of the action of Hecke operators on Drinfeld cusp forms to prove that, when the dimension of the C_\infty-vector space S_{k,m}(GL_2(F_q[t])) is one, the operator T_t is injective on S_{k,m}(GL_2(F_q[t])) and S_{k,m}(Γ_0(t)) is direct sum of oldforms and newforms.
Hecke operators and Drinfeld cusp forms of level t
Bandini Andrea;
2023-01-01
Abstract
We use a linear algebra interpretation of the action of Hecke operators on Drinfeld cusp forms to prove that, when the dimension of the C_\infty-vector space S_{k,m}(GL_2(F_q[t])) is one, the operator T_t is injective on S_{k,m}(GL_2(F_q[t])) and S_{k,m}(Γ_0(t)) is direct sum of oldforms and newforms.File in questo prodotto:
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