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In this chapter we want to restrict to the case Γ = Sl2(ℤ) or Γ = Sl2(\mathcal{O}), where \mathcal{O} is the ring of integers of an imaginary quadratic field. Our coefficient systems will be obtained from the modules ℳ λ. We assume that we have d = 0 and hence n ≡ 0 mod 2 in case A), and d1 = d2 = 0, n1 = n2 in case B). This has the effect that λ∨ = λ.

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Applications to Number Theory

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  • 发表日期：

    2025年

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  • Günter Harder

摘要

In this chapter we want to restrict to the case Γ = Sl2(ℤ) or Γ = Sl2(\mathcal{O}), where \mathcal{O} is the ring of integers of an imaginary quadratic field. Our coefficient systems will be obtained from the modules ℳ λ. We assume that we have d = 0 and hence n ≡ 0 mod 2 in case A), and d1 = d2 = 0, n1 = n2 in case B). This has the effect that λ∨ = λ.