Graded division algebras over the field of real numbers

DOI10.1016/j.jalgebra.2018.08.015zbMath1440.16049arXiv1611.04000OpenAlexW2582726746MaRDI QIDQ1783400

Yu. A. Bakhturin, Mikhail V. Zaicev

Publication date: 20 September 2018

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

Full work available at URL: https://arxiv.org/abs/1611.04000

zbMATH Keywords

graded algebrasdivision algebrasalgebras given by generators and defining relations

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Finite-dimensional division rings (16K20) Brauer groups (algebraic aspects) (16K50)

Related Items (5)

Fine gradings and automorphism groups on associative algebras ⋮ Graded-division algebras and Galois extensions ⋮ Graded-division algebras over arbitrary fields ⋮ On nonassociative graded-simple algebras over the field of real numbers ⋮ On generic \(G\)-graded Azumaya algebras

Cites Work

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• Gradings on simple algebras of finitary matrices.
• Simple graded division algebras over the field of real numbers
• Classification of division gradings on finite-dimensional simple real algebras.
• Infinite dimensional Lie superalgebras
• Methods of graded rings.
• Realization of graded-simple algebras as loop algebras
• Group Gradings on Matrix Algebras
• Group gradings on associative algebras

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