Classification of degenerate Verma modules over $E(4,4)$
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917350038568960 |
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| author | Cantarini, Nicoletta Caselli, Fabrizio Kac, Victor |
| author_facet | Cantarini, Nicoletta Caselli, Fabrizio Kac, Victor |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_16507 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Classification of degenerate Verma modules over $E(4,4)$ Cantarini, Nicoletta Caselli, Fabrizio Kac, Victor Representation Theory 17B15, 17B25 (primary), 17B65, 17B70 (secondary) 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. |
| title | Classification of degenerate Verma modules over $E(4,4)$ |
| topic | Representation Theory 17B15, 17B25 (primary), 17B65, 17B70 (secondary) |
| url | https://arxiv.org/abs/2603.16507 |