On the \(u\)-invariant of Hermitian forms

DOI10.1007/s12044-013-0131-xzbMath1281.11034OpenAlexW2049749388MaRDI QIDQ369288

Sudeep S. Parihar, Venapally Suresh

Publication date: 24 September 2013

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-013-0131-x

zbMATH Keywords

\(u\)-invariantinvolutionHermitian formquaternion algebraWitt groupcentral simple algebracanonical involution

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Bilinear and Hermitian forms (11E39) Finite-dimensional division rings (16K20)

Related Items

Hermitian 𝑢-invariants over function fields of 𝑝-adic curves

Cites Work

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• The \(u\)-invariant of the function fields of \(p\)-adic curves
• Hasse principle for classical groups over function fields of curves over number fields
• Hermitian forms and the \(u\)-invariant
• Galois cohomology of the classical groups over fields of cohomological dimension \(\leq 2\)

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