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

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.

### MSC:

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

### Keywords:

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