Algebraic methods for diagonalization of a quaternion matrix in quaternionic quantum theory
Tongsong Jiang
Abstract
Tongsong Jiang
Abstract
By means of complex representation and real representation of a quaternion matrix, this paper studies the problem of diagonalization of a quaternion matrix, gives two algebraic methods for diagonalization of quaternion matrices in quaternionic quantum theory.
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By means of complex representation and real representation of a quaternion matrix, this paper studies the problem of diagonalization of a quaternion matrix, gives two algebraic methods for diagonalization of quaternion matrices in quaternionic quantum theory.
Key concepts: Quaternion, Mathematics, Quaternionic representation, Algebra over a field, Matrix (chemical analysis), Quaternion algebra, Representation (politics), Matrix representation