The Jones polynomial, Knots, diagrams, and categories Page 1 BULLETIN (New Series) OF
THE AMERICAN MATHEMATICAL SOCIETY Volume 60, Number 4, October 2023, Pages …

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 …

We provide a recursive classification of meander graphs, showing that each meander is
identified by a unique sequence of fundamental graph theoretic moves. This sequence is …

Analogous to the 𝔰𝔩 (n) case, we address the computation of the index of seaweed
subalgebras of 𝔰𝔭 (2 n) by introducing graphical representations called symplectic …

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 …

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:2301.07222v1 [math.RT] 17 Jan 2023 Page 1 arXiv:2301.07222v1 [math.RT] 17 Jan
2023 A GENERALIZATION OF PERFECTLY CLUSTERING WORDS AND BAND BRICKS FOR …

We provide a recursive classification of meander graphs, showing that each meander is
identified by a unique sequence of fundamental graph-theoretic moves. This sequence is …

This paper is an introduction to combinatorial topology via state summation models for the
Jones polynomial and its generalizations and also an introduction to specific aspects of the …