Hopf automorphisms and twisted extensions
Representation Theory
2016-01-05 v1 Quantum Algebra
Abstract
We give some applications of a Hopf algebra constructed from a group acting on another Hopf algebra A as Hopf automorphisms, namely Molnar's smash coproduct Hopf algebra. We find connections between the exponent and Frobenius-Schur indicators of a smash coproduct and the twisted exponents and twisted Frobenius-Schur indicators of the original Hopf algebra A. We study the category of modules of the smash coproduct.
Cite
@article{arxiv.1601.00228,
title = {Hopf automorphisms and twisted extensions},
author = {Susan Montgomery and Maria D. Vega and Sarah Witherspoon},
journal= {arXiv preprint arXiv:1601.00228},
year = {2016}
}
Comments
12 pages