Operator calculus and invertible Clifford Appell systems: theory and application to the n-particle fermion algebra
Abstract
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.
Origin : Files produced by the author(s)
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