论文信息 - The breadth of Lie poset algebras

The breadth of Lie poset algebras

The breadth of a Lie algebra L is defined to be the maximum of the dimensions of the images of adx = [x,−] : L → L for all x ∈ L. Here, we initiate an investigation into the breadth of three families of Lie algebras defined by posets and provide combinatorial breadth formulas for the members of each family.

Vincent E. Coll | Jr. | Alex Cameron | Nicholas Mayers | Nicholas Russoniello

[1] Vincent E. Coll,et al. The index of nilpotent Lie poset algebras , 2020, 2004.08512.

[2] Vincent E. Coll,et al. The index of Lie poset algebras , 2019, J. Comb. Theory, Ser. A.

[3] Willem A. de Graaf. Classification of Solvable Lie Algebras , 2005, Exp. Math..

[4] Cohomology of Lie semidirect products and poset algebras , 2014, 1407.0428.

[5] K. Misra,et al. On nilpotent Lie algebras of small breadth , 2014, 1410.2778.

[6] G. Rota. On the foundations of combinatorial theory I. Theory of Möbius Functions , 1964 .

[7] A. Vavpetivc,et al. Co)Homology of Lie Algebras via Algebraic Morse Theory , 2015, 1501.02533.

[8] Classification of Nilpotent Lie Algebras with Small Breadth. , 2014 .