The Bijectivity of the Antipode Revisited
Quantum Algebra
2010-08-25 v4 Representation Theory
Abstract
We provide a very short approach to several fundamental results for Hopf algebras with nonzero integrals. Besides being short, our approach is the first to prove the bijectivity of the antipode without using the uniqueness of the integrals of Hopf algebras and to obtain the uniqueness of integrals as a corollary in a way similar to the classical theory of the Haar measure on compact groups.
Keywords
Cite
@article{arxiv.1001.0180,
title = {The Bijectivity of the Antipode Revisited},
author = {Miodrag C. Iovanov and Serban Raianu},
journal= {arXiv preprint arXiv:1001.0180},
year = {2010}
}
Comments
6p