A Springer theorem for Hermitian forms.

DOI10.1007/s00209-005-0775-zzbMath1103.11013OpenAlexW2063580372MaRDI QIDQ818571

Douglas W. Larmour

Publication date: 21 March 2006

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-005-0775-z

zbMATH Keywords

Hermitian formSpringer's theoremvalued division

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Bilinear and Hermitian forms (11E39) Finite-dimensional division rings (16K20)

Related Items (7)

Hasse principle for hermitian spaces over semi-global fields ⋮ Graded Hermitian forms and Springer's theorem ⋮ Signatures of Hermitian forms and ``prime ideals of Witt groups ⋮ Valuations on algebras with involution. ⋮ A Hermitian analogue of the Bröcker-Prestel theorem. ⋮ Hermitian forms and the \(u\)-invariant ⋮ Hermitian 𝑢-invariants over function fields of 𝑝-adic curves

Cites Work

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• Division algebras over Henselian fields.
• Prime ideals in PI-rings
• New improved exact sequences of Witt groups
• Maximal orders over valuation rings
• Hyperbolic involutions
• Extending Valuations to Finite Dimensional Division Algebras
• Involutions on orders. I.

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