Quaternion lattices and quaternion fields

DOI10.1007/s00013-022-01816-zOpenAlexW4313596006MaRDI QIDQ2697446

Yanyan Li

Publication date: 12 April 2023

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

Full work available at URL: https://doi.org/10.1007/s00013-022-01816-z

zbMATH Keywords

Galois extensionsintegral representationsquaternion groupgenus theorySteinitz classesdefinite quaternion algebras

Mathematics Subject Classification ID

Integral representations of finite groups (20C10) Integral representations related to algebraic numbers; Galois module structure of rings of integers (11R33) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• Globally irreducible representations of finite groups and integral lattices
• Basic spin representations of \(2\mathbb{S}_ n\) and \(2\mathbb{A}_ n\) as globally irreducible representations
• Three letters to Walter Feit on group representations and quaternions.
• Quaternion extensions with restricted ramification
• Central Extensions, Galois Groups, and Ideal Class Groups of Number Fields
• Group Representations and Lattices
• Finite quaternionic matrix groups

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