3 citations · 7 across the 7 of their papers we have counts for
11 papers
The unbroken spectra of Frobenius seaweeds
Alex Cameron, Vincent E. Coll, Matthew Hyatt +1
We show that if 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 s…
Combinatorial index formulas for Lie algebras of seaweed type
Alex Cameron, Vincent E. Coll, Matthew Hyatt
Analogous to the types A, B, and C cases, we address the computation of the index of seaweed subalgebras in the type-D case. Formulas for the algebra's index can be computed by cou…
The unbroken spectrum of Frobenius seaweeds II: type-B and type-C
Alex Cameron, Vincent E. Coll, Matthew Hyatt +1
Analogous to the Type- case, we show that if is a Frobenius seaweed subalgebra of or ,…
On compositions associated to seasweed subalgebras of sl(n)
Vincent E. Coll, Aria Dougherty, Matthew Hyatt +2
A standard seaweed subalgebra of may be parametrized by a pair of compositions of the positive integer . For all and certain , we provide cl…
The unbroken spectrum of type-A Frobenius seaweeds
Vincent E. Coll, Matthew Hyatt, Colton Magnant
If is a Frobenius Lie algebra, then for certain the natural map given by i…
Symplectic meanders
Vincent E. Coll, Matthew Hyatt, Colton Magnant
Analogous to the sl(n) case, we address the computation of the index of seaweed subalgebras of sp(2n) by introducing graphical representations called symplectic meanders. Formulas…