Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras

Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras

We construct a duality functor on the category of continuous representations of linearly compact Lie superalgebras, using representation theory of Lie conformal superalgebras. We compute the dual representations of the generalized Verma modules.

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Veröffentlicht in:Advances in mathematics (New York. 1965) 2021-02, Vol.378, p.107523, Article 107523
Hauptverfasser: Cantarini, Nicoletta, Caselli, Fabrizio, Kac, Victor
Format: Artikel
Sprache:eng
Schlagworte:
Annihilation superalgebra
Formal distribution
Generalized Verma module
Lie conformal superalgebra
Linearly compact Lie superalgebra
Mathematics
Physical Sciences
Science & Technology
Shift character
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Zusammenfassung:We construct a duality functor on the category of continuous representations of linearly compact Lie superalgebras, using representation theory of Lie conformal superalgebras. We compute the dual representations of the generalized Verma modules.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2020.107523