Braided Hopf algebra structures on exterior algebras

Abstract: The exterior algebra of any vector space of dimension greater than one admits a one-parameter family of braided Hopf algebra structures, of which the standard super Hopf algebra structure is a particular example. By employing a one-parameter family of diagonal automorphisms of these braided Hopf algebras, we construct solutions of the (constant) Yang-Baxter equation. These solutions conjecturally underlie the two-variable Links-Gould knot invariants associated with quantum supergroups. This is joint work with Vladimir Mangazeev.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar