# Lyndon basis of free Lie superalgebras

Lyndon basis for Free Lie algebras is well known in the literature.

My question is,

what is the analogous combinatorial model for the case of free Lie superalgebras? what is the super analogous of Lyndon words?

Theorem 2.2 in Leonid A. Bokut, Seok-Jin Kang, Kyu-Hwan Lee, Peter Malcolmson, Gröbner–Shirshov Bases for Lie Superalgebras and Their Universal Enveloping Algebras, Journal of Algebra 217, Issue 2, 15 July 1999, pp. 461--495 claims a basis formed by "super-Lyndon-Shirshov monomials" whenever the base field has characteristic $$\neq 2, 3$$. (I suspect the requirements on the characteristic come from unclarity about what a Lie superalgebra in characteristic $$2$$ or $$3$$ is.) The proof is relegated to references.