Representation fields for commutative orders

DOI10.5802/aif.2695zbMath1269.11115arXiv1104.1809OpenAlexW2962815288MaRDI QIDQ441322

Luis Arenas-Carmona

Publication date: 22 August 2012

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1809

zbMATH Keywords

central simple algebrasmaximal ordersspinor class fieldsspinor genera

Mathematics Subject Classification ID

Representations of orders, lattices, algebras over commutative rings (16G30) Adèle rings and groups (11R56) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (13)

On optimal embeddings and trees ⋮ Roots of unity in definite quaternion orders ⋮ On genera containing non-split Eichler orders over function fields ⋮ Quotients of the Bruhat-Tits tree by function field analogs of the Hecke congruence subgroups ⋮ Representation fields for orders of small rank ⋮ Local selectivity of orders in central simple algebras ⋮ Maximal selectivity for orders in fields ⋮ Selectivity in division algebras ⋮ Spinor class fields for generalized Eichler orders ⋮ Computing quaternion quotient graphs via representations of orders ⋮ Computing embedding numbers and branches of orders via extensions of the Bruhat-Tits tree ⋮ Branches on division algebras ⋮ EICHLER ORDERS, TREES AND REPRESENTATION FIELDS

Cites Work

• Embedding orders into central simple algebras
• Relative spinor class fields: a counterexample
• Split orders and convex polytopes in buildings
• Applications of spinor class fields: embeddings of orders and quaternionic lattices.
• An Embedding Theorem for Quaternion Algebras
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