Principal Orders and Embedding of Local Fields in Algebras

DOI10.1112/plms/s3-54.2.247zbMath0615.12021OpenAlexW2069211493MaRDI QIDQ4723858

Albrecht Froehlich

Publication date: 1987

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-54.2.247

zbMATH Keywords

embedding problemGalois representationscentral simple algebraunramified extensionsupercuspidal representationsmaximal subfieldsprincipal orders

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representations of Lie and linear algebraic groups over local fields (22E50) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Algebras and orders, and their zeta functions (11S45)

Related Items (14)

Pure elements and intertwining classes of simple strata in local central simple algebras ⋮ The inertial Jacquet-Langlands correspondence ⋮ Monogenic Hopf orders and associated orders of valuation rings. ⋮ Multiplicative field invariants ⋮ Ramification and lattices ⋮ Ideal semigroups of noetherian domains and Ponizovski decompositions ⋮ Explicit base change lifts of the supercuspidal representations of \(U(1,1)(F_0)\) ⋮ Simple characters for principal orders in \(M_m(D)\) ⋮ Hereditary orders and embeddings of local fields in simple algebras ⋮ Abelian varieties having purely additive reduction ⋮ Continuation of hereditary orders in local central simple algebras ⋮ More on embeddings of local fields in simple algebras ⋮ Multiplicative field invariants and the Brauer group ⋮ Building of \(\mathrm{GL}(m,D)\) and centralizers

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