A celebrated result of Gromov ensures the existence of a contact structure on any
connected, non-compact, odd-dimensional Lie group. In general, such structures are not …

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 …

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 …

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 …

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 …