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 …

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 …

The index of a Lie algebra is an important algebraic invariant, but it is notoriously difficult to
compute. However, for the suggestively-named seaweed algebras, the computation of the …

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 …

If gg is a Frobenius Lie algebra, then for certain F ∈ g^* F∈ g∗ the natural map g ⟶ g^* g⟶
g∗ given by x ⟼ F x,-x⟼ F x,-is an isomorphism. The inverse image of F under this …

arXiv:1809.09271v2 [math.CO] 9 Oct 2018 Page 1 arXiv:1809.09271v2 [math.CO] 9 Oct 2018
Statistics on integer partitions arising from seaweed algebras Vincent E. Coll, Jr.*, Andrew W …

This paper is a continuation of earlier work on the construction of contact forms on seaweed
algebras. In the prequel to this paper, we show that every index-one seaweed subalgebra of …

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 …

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