Matthew Hyatt

activity

20122019

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

3 citations · 3 across the 2 of their papers we have counts for

collaborators

4 papers

math.RA2019

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…

math.RT2019★ 3 cited

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

Alex Cameron, Vincent E. Coll, Matthew Hyatt +1

Analogous to the Type- $A_{n - 1} = sl (n)$ case, we show that if $g$ is a Frobenius seaweed subalgebra of $B_{n} = so (2 n + 1)$ or $C_{n} = sp (2 n)$ ,…

math.RA2016

The unbroken spectrum of type-A Frobenius seaweeds

Vincent E. Coll, Matthew Hyatt, Colton Magnant

If $g$ is a Frobenius Lie algebra, then for certain $F \in g^{*}$ the natural map $g ⟶ g^{*}$ given by $x ⟼ F [x, -]$ i…

math.CO2012

The classification of 231-avoiding permutations by descents and maximum drop

Matthew Hyatt, Jeffrey Remmel

We study the number of 231-avoiding permutations with $j$ -descents and maximum drop is less than or equal to $k$ which we denote by $a_{n, 231, j}^{(k)}$ . We show that $a_{n,231,j}^{…