Matrix representations of Clifford algebras

DOI10.1016/0024-3795(90)90282-HzbMath0703.15029WikidataQ128127143 ScholiaQ128127143MaRDI QIDQ915824

Pertti Lounesto, Gerald N. Hile

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

matrix algebrasClifford algebrasquaternionsnormsmatrix representationsoptimal inequalitiestrace condition

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Clifford algebras, spinors (15A66)

Related Items

ON COMPLEX REPRESENTATIONS OF THE CLIFFORD ALGEBRAS, Non-commutative extrapolation algorithms, Real representations of finite Clifford algebras. I. Classification, Real representations of finite Clifford algebras. II. Explicit construction and pseudo-octonion, On linear functionals on Clifford modules and their extensions, Explicit matrix realization of Clifford algebras, An algebraic approach to the vector \(\varepsilon\)-algorithm, A canonical form for relativistic dynamic equation, On the convergence of rows of vector Padé approximants, Construction of commutative number systems, Graded symmetry groups: plane and simple, A generalization of Euler's formula in Clifford algebras, Universal similarity factorization equalities over generalized Clifford algebras, Properties of modules over Clifford algebras and variational problems, Dual Clifford modules, Clifford algebras and vector-valued rational forms. II, Algebraic structures on space-time algebra, A vector generalisation of de Montessus' theorem for the case of polar singularities on the boundary, Analysis and Applications of Holomorphic Functions in Higher Dimensions, Spectrum and analytic functional calculus for Clifford operators via stem functions, Universal similarity factorization equalities over real Clifford algebras, Vector Padé-type approximants and vector Padé approximants, On vector Hankel determinants, What is a vector Hankel determinant

Cites Work

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