Uniqueness of the scalar product in the tensor product of quaternion Hilbert modules

DOI10.1063/1.529528zbMath0772.15016OpenAlexW2009152261MaRDI QIDQ4031019

Aharon Razon, Lawrence P. Horwitz

Publication date: 1 April 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529528

zbMATH Keywords

idealinvolutiontensor productinner productsquaternion algebracovariantquaternion Hilbert modules

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Constructive quantum field theory (81T08) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Multilinear algebra, tensor calculus (15A69) Hilbert algebras (46K15)

Related Items

Quaternions and special relativity ⋮ Quaternionic Hilbert spaces and a von Neumann inequality ⋮ Completing a \(2 \times 2\) block matrix of real quaternions with a partial specified inverse ⋮ Quaternionic electroweak theory and Cabibbo-Kobayashi-Maskawa matrix ⋮ The structure of symmetric tensor powers of composition algebras ⋮ On a class of quaternionic positive definite functions and their derivatives ⋮ Generalized quantum dynamics ⋮ Classification of left octonionic modules ⋮ The general solution to a system of real quaternion matrix equations ⋮ On quaternionic functional analysis ⋮ Para-linearity as the nonassociative counterpart of linearity ⋮ Experimental status of quaternionic quantum mechanics.

Cites Work

• Quaternion quantum mechanics: Second quantization and gauge fields
• Tensor product of quaternion Hilbert modules
• Projection operators and states in the tensor product of quaternion Hilbert modules
• Principle of General Q Covariance

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