The structure of symmetric tensor powers of composition algebras

DOI10.1142/s0219498824500336OpenAlexW4309385790MaRDI QIDQ6089238

Aharon Razon

Publication date: 14 December 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498824500336

zbMATH Keywords

octonion algebraquaternion algebracentral simple algebracomposition algebrapositive definite quadratic formsymmetric tensor powers

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Composition algebras (17A75)

Cites Work

• Tensor product of quaternion Hilbert modules
• Projection operators and states in the tensor product of quaternion Hilbert modules
• Uniqueness of the scalar product in the tensor product of quaternion Hilbert modules
• Combinatorial Nullstellensatz
• Integration Over Spheres and the Divergence Theorem for Balls
• On the tensor product of composition algebras
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