Representation fields for commutative orders
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Publication:441322
DOI10.5802/aif.2695zbMath1269.11115arXiv1104.1809OpenAlexW2962815288MaRDI QIDQ441322
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
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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