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 …

Abstract A (2 k+ 1)-dimensional Lie algebra is called contact if it admits a one-form φ such
that φ∧(d φ) k≠ 0. Here, we extend recent work to describe a combinatorial procedure for …

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 provide a combinatorial recipe for constructing all posets of height at most two for which
the corresponding type-A Lie poset algebra is contact. In the case that such posets are …

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 …

We extend a recently established combinatorial index formula applying to Lie poset
algebras of types B, C, and D. Then, using the extended index formula, we determine a …

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 …