Extensions of the constant family of Harish-Chandra pairs of $S{L}_2(\mathbb{R})$

Abstract

We study and classify algebraic families of Harish-Chandra pairs over the complex affine line and over the complex projective line with generic fiber that is isomorphic to the Harish-Chandra pair of $S{L}_2(\mathbb{R})$.

In this version, besides small corrections throughout the text, the proof of theorem 3.2. was revised and the definitions of the families in section 4.2. were corrected