2024/01/12 by Schmitz, Leonard, Tapia, Nikolas
#FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2401.06691
Signature transforms have recently been extended to data indexed by two and more parameters. With free Lyndon generators, ideas from B_∞-algebras and a novel two-parameter Hoffman exponential, we provide three classes of isomorphisms between the underlying two-parameter shuffle and quasi-shuffle algebras. In particular, we provide a Hopf algebraic connection to the (classical, one-parameter) shuffle algebra over the extended alphabet of connected matrix compositions.