Journal article
The Bijectivity of the Antipode Revisited
Communications in Algebra, Vol.39(12), pp.4662-4668
12/01/2011
DOI: 10.1080/00927872.2011.617273
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.
Details
- Title: Subtitle
- The Bijectivity of the Antipode Revisited
- Creators
- M. C Iovanov - University of Southern California, Los Angeles, California, USA, and Facultatea de Matematica şi Informatica, University of BucharestŞ Raianu - Mathematics Department , California State University
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.39(12), pp.4662-4668
- DOI
- 10.1080/00927872.2011.617273
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Publisher
- Taylor & Francis Group
- Language
- English
- Date published
- 12/01/2011
- Academic Unit
- Mathematics
- Record Identifier
- 9983985800902771
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