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.
Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras / Cantarini N.; Caselli F.; Kac V.. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - STAMPA. - 378:(2021), pp. 107523.1-107523.45. [10.1016/j.aim.2020.107523]
Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras
Cantarini N.;Caselli F.
;
2021
Abstract
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.File in questo prodotto:
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ConformalDuality.pdf
Open Access dal 12/12/2022
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