The Orthosymplectic Lie Supergroup in Harmonic Analysis
The Orthosymplectic Lie Supergroup in Harmonic Analysis
The study of harmonic analysis in superspace led to the Howe dual pair (O(m)×Sp(2n),sl2). This Howe dual pair is incomplete, which has several implications. These problems can be solved by introducing the orthosymplectic Lie supergroup OSp(m|2n). We introduce Lie supergroups in the supermanifold setting and show that everything is captured …