Projective vectors of complex galois representations

DOI10.1080/00927879108824133zbMath0695.12005OpenAlexW2023436755MaRDI QIDQ3470566

Hans Opolka

Publication date: 1991

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879108824133

zbMATH Keywords

automorphic representationsirreducible Galois representationsprojective vectorsarithmetic of number fields\(\ell -adic\) representationcomplex Galois representationsdivision points of elliptic curves

Mathematics Subject Classification ID

Galois theory (11R32) Elliptic curves (14H52) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Global ground fields in algebraic geometry (14G25) Langlands-Weil conjectures, nonabelian class field theory (11R39)

Cites Work

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• Kummer theory and the \(\ell\)-adic version of Langlands' conjecture
• A note on class numbers of algebraic number fields
• Cyclotomic splitting fields and strict cohomological dimension
• Weil representations associated to finite fields
• Galois properties of points of finite order of elliptic curves
• THE COHOMOLOGY OF ABELIAN VARIETIES OVER A NUMBER FIELD

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