< Terug naar vorige pagina

Publicatie

A Schrodinger model, Fock model and intertwining Segal-Bargmann transform for the exceptional Lie superalgebra D(2, 1; alpha)

Tijdschriftbijdrage - Tijdschriftartikel

We construct two infinite-dimensional irreducible representations for D(2, 1; alpha): a Schrodinger model and a Fock model. Further, we also introduce an intertwining isomorphism. These representations are similar to the minimal representations constructed for the orthosymplectic Lie supergroup and for Hermitian Lie groups of tube type. The intertwining isomorphism is the analogue of the Segal-Bargmann transform for the orthosymplectic Lie supergroup and for Hermitian Lie groups of tube type.
Tijdschrift: JOURNAL OF LIE THEORY
ISSN: 0949-5932
Issue: 4
Volume: 31
Pagina's: 1153 - 1188
Jaar van publicatie:2021
Toegankelijkheid:Open