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Splitting Property of quasitriangular Hopf algebras by Wu, Jinsong; Zhou, Kun is a scholarly article available to read on EtoBox.

What is Splitting Property of quasitriangular Hopf algebras about?

We investigate the splitting property of quasitriangular Hopf algebras through the lens of twisted tensor products. Specifically, we demonstrate that an infinite-dimensional quasitriangular Hopf algebra possesses the splitting property if it admits a factorizable quotient Hopf algebra. We also establish that the splitting property holds if there exists a full rank quotient Hopf algebra where the left and right coinvariants coincide. As a consequence, we obtain a new obstruction for quasitriangular structure in finite-dimensional Hopf algebras.

Author

Wu, Jinsong; Zhou, Kun

Published

2025

Language

EN