We provide general closed-form formulas for the index of type-A Lie poset algebras
corresponding to posets of restricted height. Furthermore, we provide a combinatorial recipe …

In this paper, we define posets of types B, C, and D. These posets encode the matrix forms of
certain Lie algebras which lie between the algebras of upper-triangular and diagonal …

We introduce a family of posets which generate Lie poset subalgebras of A n-1= sl (n)
whose index can be realized topologically. In particular, if P is such a toral poset, then it has …

Abstract The category of Frobenius Lie algebras is stable under deformation, and here we
examine explicit infinitesimal deformations of four and six dimensional Frobenius Lie …

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 …

The index of a Lie algebra g is defined by ind g= min f∈ g* dim (ker (B f)), where f is an
element of the linear dual g* and B f (x, y)= f ([x, y]) is the associated skew-symmetric Kirillov …

arXiv:2108.06019v1 [math.CO] 13 Aug 2021 Page 1 arXiv:2108.06019v1 [math.CO] 13 Aug
2021 The unbroken spectra of Frobenius seaweeds Alex Cameron∗, Vincent E. Coll, Jr.∗∗ …

If $\mathfrak {g} $ is a Frobenius Lie algebra, then the spectrum of $\mathfrak {g} $ is an
algebraic invariant equal to the multiset of eigenvalues corresponding to a particular …

After the fashion of type-A Lie poset algebras studied by Coll and Gerstenhaber, we define
posets of types B, C, and D. These posets encode the matrix forms of certain Lie algebras …

The index and spectrum of Lie poset algebras Page 1 The index and spectrum of Lie poset
algebras by Nicholas W. Mayers A Dissertation Presented to the Graduate Committee of Lehigh …