DANIELE BRILLI

PhD Graduate

PhD program:: XXXIII


supervisor: A. De Sole
advisor: A. D'Andrea

Thesis title: Pseudoalgebraic structures and representations of the exceptional Lie superalgebra E(5,10)

The language of Lie pseudoalgebras is useful in giving finite description of infinite-dimensional Lie algebras and has proved to be a valuable tool in algebra and representation theory. In this thesis, we apply pseudoalgebraic techniques to the representation theory of the exceptional linearly compact Lie superalgebra E(5,10). We construct a Lie super pseudoalgebra associated to E(5,10) and use it to find a bound on the degree of singular vectors in generalized Verma modules. We also classify all such pseudoalgebraic structures for E(5,10). We expect that the techniques developed can be suitably generalized.

Research products

  • 11573/1637612 - 2021 - Pseudoalgebraic structures and representations of the exceptional Lie superalgebra E(5,10) (07a Tesi di Dottorato)
    BRILLI, DANIELE

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