The projective linear supergroup and the SUSY-preserving automorphisms of $\mathbb{P}^{1|1}$

Rita Fioresi and Stephen D. Kwok

Vol. 295 (2018), No. 2, 385–401

DOI: 10.2140/pjm.2018.295.385

Abstract

The purpose of this paper is to describe the projective linear supergroup, its relation with the automorphisms of the projective superspace and to determine the supergroup of SUSY-preserving automorphisms of ${\mathbb{P}}^{1|1}$.

Keywords

supergeometry, Lie theory, algebraic geometry

Mathematical Subject Classification 2010

Primary: 14L30, 58A50

Milestones

Received: 14 July 2017

Accepted: 8 December 2017

Published: 11 April 2018