Zur darstellungstheoretischen Deutung von Kohomologiegruppen

DOI10.1007/BF01197489zbMath0553.12002MaRDI QIDQ801970

Hans Opolka

Publication date: 1986

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

Galois cohomologyreciprocity lawabsolute Galois groupirreducible representationsautomorphic representationsArtin L-functionLanglands conjecturestrict cohomological dimension

Mathematics Subject Classification ID

Galois cohomology (11S25) Homological methods in group theory (20J05) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39) Galois cohomology (11R34)

Cites Work

• L-indistinguishability and R groups for the special linear group
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Induced representations of the group \(\text{GL}(n)\) over a \(\mathfrak p\)-adic field
• Classification of the primitive representations of the Galois group of local fields
• Automorphic forms on \(GL(3)\). I, II
• Lokale projektive Klassenkörpertheorie, II
• L-Indistinguishability For SL (2)
• Weil-Darstellungen und lokale Galoistheorie
• Extensions of number fields defined by cohomology groups
• On Fields of Class Two
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