Strongly Anisotropic Involutions on Central Simple Algebras

DOI10.1080/00927871003739012zbMath1233.16032OpenAlexW2092576135MaRDI QIDQ3090095

Amit Kulshrestha

Publication date: 26 August 2011

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

Full work available at URL: https://doi.org/10.1080/00927871003739012

zbMATH Keywords

Hermitian formsquadratic formslocal-global principlesBröcker-Prestel theoremstrongly anisotropic involutionsvalue functions on central simple algebras

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) Valued fields (12J10)

Related Items (1)

Discriminants of symplectic graded involutions on graded simple algebras.

Cites Work

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• Lectures on formally real fields
• The Henselization of a valued division algebra
• On some Hasse principles over formally real fields
• On the theory of quadratic forms over formally real fields
• Quadratische Semi-Ordnungen und quadratische Formen
• A Hermitian analogue of the Bröcker-Prestel theorem.
• Graded Hermitian forms and Springer's theorem
• Value functions and associated graded rings for semisimple algebras
• Hermitian analogue of a theorem of Springer
• A weak Hasse principle for central simple algebras with an involution

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