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arXiv · 2603.16507

Classification of degenerate Verma modules over $E(4,4)$

Nicoletta Cantarini·Fabrizio Caselli·Victor Kac
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Abstract

In this paper we classify degenerate Verma modules over the linearly compact Lie superalgebra $E(4,4)$. This completes the description of Verma modules over the exceptional linearly compact Lie superalgebras. As in the other cases all degenerate modules and morphisms between them give rise to infinite bilateral complexes which may be viewed as a generalization of de Rham complexes.

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Nicoletta Cantarini, Fabrizio Caselli, Victor Kac. 2026-03-17. Classification of degenerate Verma modules over $E(4,4)$. https://arxiv.org/abs/2603.16507

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