Concepts of trace, determinant and inverse of Clifford algebra elements

zbMath1297.15028arXiv1108.5447MaRDI QIDQ5166997

Dmitry Shirokov

Publication date: 9 July 2014

Full work available at URL: https://arxiv.org/abs/1108.5447

zbMATH Keywords

tracedeterminantinverseClifford algebra

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66)

Related Items (10)

The inverse of a multivector: beyond the threshold \(p+q=5\) ⋮ Classification of Lie algebras of specific type in complexified Clifford algebras ⋮ Construction of multivector inverse for Clifford algebras over \(2m+1\)-dimensional vector spaces from multivector inverse for Clifford algebras over \(2m\)-dimensional vector spaces ⋮ On noncommutative Vieta theorem in geometric algebras ⋮ Pauli theorem in the description of \(n\)-dimensional spinors in the Clifford algebra formalism ⋮ Multivector and multivector matrix inverses in real Clifford algebras ⋮ Basis-free solution to Sylvester equation in Clifford algebra of arbitrary dimension ⋮ On computing the determinant, other characteristic polynomial coefficients, and inverse in Clifford algebras of arbitrary dimension ⋮ COMPOSITIONS OF INVERTIBILITY PRESERVING MAPS FOR SOME MONOIDS AND THEIR APPLICATION TO CLIFFORD ALGEBRAS ⋮ New applications of Clifford's geometric algebra

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