Canonical bases for sl(2,C)-modules of spherical monogenics in dimension 3

Abstract

Spaces of homogeneous spherical monogenics in dimension 3 can be considered naturally as sl(2,C)-modules. As finite-dimensional irreducible sl(2,C)-modules, they have canonical bases which are, by construction, orthogonal.

In this note, we show that these orthogonal bases form the Appell system.

Keywords

• Canonical bases
• sl(2
• C)-modules
• spherical monogenics