Isotropic subspaces in symmetric composition algebras and Kummer subspaces in central simple algebras of degree 3

DOI10.1007/s00229-011-0482-5zbMath1300.17007OpenAlexW1980915457MaRDI QIDQ663314

Uzi Vishne, Eliyahu Matzri

Publication date: 14 February 2012

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-011-0482-5

zbMATH Keywords

trialitysymmetric composition algebracentral simple algebraOkubo algebranorm formCayley algebraisotropic subspaceComposition algebrainvolution of the second kindKummer subspace

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Finite-dimensional division rings (16K20) Composition algebras (17A75)

Related Items

\(\ell\)-weak identities and central polynomials for matrices ⋮ Kummer spaces in symbol algebras of prime degree ⋮ Square-central elements and standard generators for biquaternion algebras. ⋮ Classification of hyperbolic planes in algebras of degree three. ⋮ Kummer subspaces of tensor products of cyclic algebras ⋮ \(\mathbb Z_3 \times\mathbb Z_3\) crossed products. ⋮ Composition algebras and cyclic \(p\)-algebras in characteristic 3 ⋮ Tensor products of cyclic algebras of degree 4 and their Kummer subspaces ⋮ A birational interpretation of Severi-Brauer varieties

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