A Fock Model and the Segal-Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra (, 2|2)

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Barbier, Sigiswald, Claerebout, Sam, De Bie, Hendrik
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210763
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Fock Model and the Segal-Bargmann Transform for the Minimal Representation of the Orthosymplectic Lie Superalgebra (, 2|2). Sigiswald Barbier, Sam Claerebout and Hendrik De Bie. SIGMA 16 (2020), 085, 33 pages

The minimal representation of a semisimple Lie group is a 'small' infinite-dimensional irreducible unitary representation. It is thought to correspond to the minimal nilpotent coadjoint orbit in Kirillov's orbit philosophy. The Segal-Bargmann transform is an intertwining integral tran...