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arXiv:2006.16196 [math.RT]AbstractReferencesReviewsResources

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

Daniele Brilli

Published 2020-06-29Version 1

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, $\leq 10$.

Comments: 18 pages
Categories: math.RT
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