Geodesic
The Unbroken Spectra of Frobenius Seaweed Algebras
Alex Cameron1 ; Vincent E. Coll Jr.2 ; Matthew Hyatt3 ; Colton Magnant4
1Department of Mathematics, Bloomsburg University, Bloomsburg, U.S.A.
2Department of Mathematics, Lehigh University, Bethlehem, U.S.A.
3FactSet Research Systems, New York, U.S.A.
4UPS of America, Atlanta, U.S.A.
Journal of Lie Theory, Tome 33 (2023) no. 2, pp. 609-639

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 17B20, 05E15
Mots-clés : Frobenius Lie algebra, seaweed, biparabolic, principal element, Dynkin diagram, spectrum, regular functional, Weyl group

Alex Cameron  1   ; Vincent E. Coll Jr.  2   ; Matthew Hyatt  3   ; Colton Magnant  4

1 Department of Mathematics, Bloomsburg University, Bloomsburg, U.S.A.
2 Department of Mathematics, Lehigh University, Bethlehem, U.S.A.
3 FactSet Research Systems, New York, U.S.A.
4 UPS of America, Atlanta, U.S.A. 
Alex Cameron; Vincent E. Coll Jr.; Matthew Hyatt; Colton Magnant. The Unbroken Spectra of Frobenius Seaweed Algebras. Journal of Lie Theory, Tome 33 (2023) no. 2, pp. 609-639. http://geodesic.mathdoc.fr/item/JOLT_2023_33_2_a6/
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