Hopf Structures in the Representation Theory of Direct Products Journal Article uri icon



  • Combinatorial Hopf algebras give a linear algebraic structure to infinite families of combinatorial objects, a technique further enriched by the categorification of these structures via the representation theory of families of algebras.  This paper examines a fundamental construction in group theory, the direct product, and how it can be used to build representation theoretic Hopf algebras out of towers of groups.  A key special case gives us the noncommutative symmetric functions NSym, but there are many things that we can say for the general Hopf algebras, including the structure of their character groups and a formula for the antipode.

publication date

  • December 2, 2022

has restriction

  • gold

Date in CU Experts

  • January 23, 2023 11:39 AM

Full Author List

  • Aliniaeifard F; Thiem N

author count

  • 2

Other Profiles

Electronic International Standard Serial Number (EISSN)

  • 1077-8926

Additional Document Info


  • 29


  • 4