Linearization of polynomials

DOI10.1063/1.529936zbMath0772.15015OpenAlexW1996678469MaRDI QIDQ4030939

Michel Rausch de Traubenberg, N. Fleury

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1063/1.529936

zbMATH Keywords

linearizationquadratic formsClifford algebraDirac matricespolynomials of several complex variables

Mathematics Subject Classification ID

Polynomials in general fields (irreducibility, etc.) (12E05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Clifford algebras, spinors (15A66) Quadratic and bilinear forms, inner products (15A63) Other generalizations of function theory of one complex variable (32A30)

Related Items (12)

The embedding of \(U_q(sl(2))\) and sine algebras in generalized Clifford algebras ⋮ Fractional supersymmetry and Fth-roots of representations ⋮ Realization of \(w_\infty\)-algebras and \(U_q(sl(2))\) in terms of generalized Clifford algebras ⋮ HIDDEN SYMMETRIES IN QUANTUM FIELD THEORIES FROM EXTENDED COMPLEX NUMBERS ⋮ Hopf algebras for ternary algebras ⋮ Clifford algebras of forms of higher degrees ⋮ Idempotents et Representations de Certaines Algebres de Clifford ⋮ A model of gravitation with global \(U(1)\)-symmetry ⋮ Fractional supersymmetric model on the \(M\mathbb{C}_n\) spaces ⋮ Generalized Clifford algebras and certain infinite dimensional Lie algebras ⋮ Generalized Clifford algebras and hyperspin manifolds ⋮ DUAL GENERALIZATIONS OF SINE–GORDON FIELD THEORY AND INTEGRABILITY SUBMANIFOLDS IN PARAMETER SPACE

Cites Work

• Some linear Bäcklund transformations
• Some twisted self-dual solutions for the Yang-Mills equations on a hypertorus
• Clifford- and Grassmann-like algebras—Old and new
• Generalized Clifford Algebras and Dimodule Algebras
• Spinors in n Dimensions

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