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

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2603.16507

Authors: Cantarini, Nicoletta, Caselli, Fabrizio, Kac, Victor

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7139048749

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