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

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...

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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
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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

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Digital Library of Periodicals of National Academy of Sciences of Ukraine