Journal of Lie Theory

no. 2
The Unbroken Spectra of Frobenius Seaweed Algebras
Journal of Lie Theory, Volume 33 (2023) no. 2, pp. 609-639
We show that if g is a Frobenius seaweed, then the spectrum of the adjoint of a principal element consists of an unbroken set of integers whose multiplicities have a symmetric distribution. Our methods are combinatorial.
DOI: 10.5802/jolt.1296
Classification: 17B20, 05E15
Keywords: Frobenius Lie algebra, seaweed, biparabolic, principal element, Dynkin diagram, spectrum, regular functional, Weyl group 
@article{JOLT_2023_33_2_a6,
     author = {A. Cameron and V. E. Coll Jr. and M. Hyatt and C. Magnant},
     title = {The {Unbroken} {Spectra} of {Frobenius} {Seaweed} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {609--639},
     year = {2023},
     volume = {33},
     number = {2},
     doi = {10.5802/jolt.1296},
     zbl = {1531.17009},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1296/}
}
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A. Cameron; V. E. Coll Jr.; M. Hyatt; C. Magnant. The Unbroken Spectra of Frobenius Seaweed Algebras. Journal of Lie Theory, Volume 33 (2023) no. 2, pp. 609-639. doi: 10.5802/jolt.1296

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