Hereditary orders and embeddings of local fields in simple algebras

DOI10.1006/jabr.1997.7345zbMath0911.16011OpenAlexW2007677080MaRDI QIDQ1271002

Paul Broussous

Publication date: 4 March 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7345

zbMATH Keywords

central division algebraslocally compact groupshereditary orderspure extensionslocally compact fieldsgood extensions

Mathematics Subject Classification ID

Algebraic field extensions (12F05) Finite-dimensional division rings (16K20) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Algebras and orders, and their zeta functions (11S45) Valued fields (12J10)

Related Items (5)

Pure elements and intertwining classes of simple strata in local central simple algebras ⋮ On the types for supercuspidal representations of inner forms of \(\mathrm{GL}_N\) ⋮ Block decomposition of the category of smooth \(\ell\)-modular representations of finite length of \(\mathrm{GL}_m(D)\) ⋮ Représentations lisses de GLm(D)GLm(D), III : types simples ⋮ Continuation of hereditary orders in local central simple algebras

Cites Work

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• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Non-Abelian Congruence Gauss Sums and _p -Adic Simple Algebras
• Schémas en groupes et immeubles des groupes classiques sur un corps local
• Representation theory of local division algebras.
• Principal Orders and Embedding of Local Fields in Algebras

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