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arXiv · 1907.08775

The unbroken spectrum of Frobenius seaweeds II: type-B and type-C

Alex Cameron·Vincent E. Coll, Jr.·Matthew Hyatt·Coton Magnant
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Abstract

Analogous to the Type-$A_{n-1}=\mathfrak{sl}(n)$ case, we show that if $\mathfrak{g}$ is a Frobenius seaweed subalgebra of $B_{n}=\mathfrak{so}(2n+1)$ or $C_{n}=\mathfrak{sp}(2n)$, then the spectrum of the adjoint of a principal element consists of an unbroken set of integers whose multiplicities have a symmetric distribution.

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Alex Cameron, Vincent E. Coll, Jr., Matthew Hyatt, Coton Magnant. 2019-07-20. The unbroken spectrum of Frobenius seaweeds II: type-B and type-C. https://arxiv.org/abs/1907.08775

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