Kummer subspaces of tensor products of cyclic algebras

DOI10.1090/proc/13599zbMath1450.16011arXiv1405.0188OpenAlexW2963984586MaRDI QIDQ5351786

Adam Chapman

Publication date: 30 August 2017

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

Full work available at URL: https://arxiv.org/abs/1405.0188

zbMATH Keywords

central simple algebrasgraphscyclic algebrasgeneric algebrasKummer spaces

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Paths and cycles (05C38) Finite-dimensional division rings (16K20)

Related Items (2)

Kummer spaces in symbol algebras of prime degree ⋮ A birational interpretation of Severi-Brauer varieties

Cites Work

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• Kummer spaces in symbol algebras of prime degree
• Square-central elements and standard generators for biquaternion algebras.
• Isotropic subspaces in symmetric composition algebras and Kummer subspaces in central simple algebras of degree 3
• On ternary cubic forms that determine central simple algebras of degree 3
• Algèbres de Clifford et algèbres exterieures
• Clifford algebras of binary homogeneous forms
• Symbol length in the Brauer group of a field

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