Meanders and Frobenius seaweed Lie algebras. (English) Zbl 1235.17003

Coll, Vincent; Giaquinto, Anthony; Magnant, Colton

J. Gen. Lie Theory Appl. 5, Article ID G110103, 7 p. (2011).

In this note the authors study some families of seaweed Lie algebras, the biparabolic subalgebras of \(\mathfrak{sl}(n)\), using meander graphs. The main result gives new proofs for the fact that some of these families are Frobenius Lie algebras and also discovers two new families of Frobenius Lie algebras.

Reviewer: Volodymyr Mazorchuk (Uppsala)

MSC:

17B05	Structure theory for Lie algebras and superalgebras
17B08	Coadjoint orbits; nilpotent varieties

Keywords:

seaweed Lie algebra; index; meander graph; Frobenius Lie algebra