A Hopf algebra without modular pair in involution
Sebastian Halbig, Ulrich Kraehmer
TL;DR
This paper presents a specific example of a finite-dimensional Hopf algebra that lacks a modular pair in involution, challenging assumptions in the theory of Hopf algebras.
Contribution
It provides the first known example of a finite-dimensional Hopf algebra without a modular pair in involution, highlighting limitations in existing theoretical frameworks.
Findings
Identifies a finite-dimensional Hopf algebra without a modular pair in involution
Challenges previous assumptions in Hopf algebra theory
Contributes to understanding of algebraic structures in noncommutative geometry
Abstract
The aim of this short note is to communicate an example of a finite-dimensional Hopf algebra that does not admit a modular pair in involution in the sense of Connes and Moscovici.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Operator Algebra Research