Invariant Operators of First Order Generalizing the Dirac Operator in 2 Variables

Abstract

We construct a complex of differential operator on a homogenous model od a parabolic geometry and show that these operators are invariant with respect to the group G=Spin(n 2,2). For some operators, an explicite description in coordinates is given.

Keywords

• Invariant Operators
• Differential Operators
• Dirac operator
• Clifford analysis