Notions of determinant, spectrum, and Hermitian conjugation of Clifford algebra elements

2003/07/21 by N. G. Marchuk, Н. Г. Марчук, Marchuk, N. G. +2
Mathematics · Physics and Astronomy · #53Z05 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic and Geometric Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:53Z05

paper · pdf · doi:10.48550/arxiv.math-ph/0307043

arxiv created 2003/07/21 · openalex publication_date 2003/07/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show how the matrix algebra notions of determinant, spectrum, and Hermitian conjugation transfer to the Clifford algebra and to differential forms on parallelisable manifolds.

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