Operator calculus and invertible Clifford Appell systems: theory and application to the n-particle fermion algebra

René Schott; G. Stacey Staples

hal-00586381, version 1

Operator calculus and invertible Clifford Appell systems: theory and application to the n-particle fermion algebra

René Schott () ^1, 2, G. Stacey Staples ³

(2011)

Résumé : Motivated by evolution equations on Clifford algebras and illustrated with the n-particle fermion algebra, a theory of invertible left-and right-Appell systems is developed for Clifford algebras of an arbitrary quadratic form. This work extends and clarifies the authors ' earlier work on Clifford Appell systems, operator calculus, and operator homology/cohomology. A direct connection is also shown between blade factorization algorithms and the construction of Appell systems in these algebras.

1 : Institut Elie Cartan Nancy (IECN)
CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
2 : TRIO (INRIA Lorraine - LORIA)
INRIA – CNRS : UMR7503 – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
3 : Department of Mathematics and Statistics - Southern Illinois University
Southern Illinois University Edwardsville

hal-00586381, version 1
http://hal.archives-ouvertes.fr/hal-00586381
oai:hal.archives-ouvertes.fr:hal-00586381
Contributeur : René Schott <>
Soumis le : Vendredi 15 Avril 2011, 16:20:43
Dernière modification le : Mardi 7 Juin 2011, 15:02:42

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