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arXiv · 2006.16196

A bound on the degree of singular vectors for the exceptional Lie superalgebra $E(5,10)$

Daniele Brilli
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Abstract

We use the language of Lie pseudoalgebras to gain information about the representation theory of the simple infinite-dimensional linearly compact Lie superalgebra of exceptional type $E(5,10)$. This technology allows us to prove that the degree of singular vectors in minimal Verma modules is $\leq 14$. A few technical adjustments allow us to refine the bound, proving that the degree must always be $\leq 12$ and it is actually, except for a finite number of cases, $\leq 10$.

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BibTeXRIS

Daniele Brilli. 2020-06-29. A bound on the degree of singular vectors for the exceptional Lie superalgebra $E(5,10)$. https://arxiv.org/abs/2006.16196

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