An explicit realization of spinor spaces and its application to clifford analysis

Abstract

In this paper the space S_2m of Dirac spinors and its dual space Ś_2m are realized, respectively, as minimal left and right ideals in the complex Clifford algebra C_2m A realization of the Weyl spinor spaces S_2m ⁺ inside C_2m is derived from it. Applications to Clifford analysis are given.

Keywords:

• Clifford analysis
• Fock space
• Dirac spinors

AMS:

• 30G35

∗Research Associate NFWO(National Fund for scientific Research, Belgium)

∗Research Associate NFWO(National Fund for scientific Research, Belgium)

Notes

∗Research Associate NFWO(National Fund for scientific Research, Belgium)

Additional information

Notes on contributors

F. sommen

∗