Normal Hopf subalgebras, depth two and Galois extensions
| dc.creator | Kadison, Lars | |
| dc.date | 2004-11-06 | |
| dc.date | 2005-04-06 | |
| dc.date.accessioned | 2026-07-07T05:14:01Z | |
| dc.date.available | 2026-07-07T05:14:01Z | |
| dc.description | Let $S$ be the left $R$-bialgebroid of a depth two extension with centralizer $R$ as defined in math.QA/0108067. We show that the left endomorphism ring of depth two extension, not necessarily balanced, is a left $S$-Galois extension of $A^{\rm op}$. Looking to examples of depth two, we establish that a Hopf subalgebra is normal if and only if it is a Hopf-Galois extension. We find a class of examples of the alternative Hopf algebroids in math.QA/0302325. We also characterize finite weak Hopf-Galois extensions using an alternate Galois canonical mapping with several corollaries: that these are depth two and that surjectivity of the Galois mapping implies its bijectivity. | |
| dc.description | superseded by my more recent preprints math.QA/0502188 and math.QA/0503194 | |
| dc.identifier | https://arxiv.org/abs/math/0411129 | |
| dc.identifier | http://arxiv.org/abs/math/0411129 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73123 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16W30 (13B05, 20L05, 16S40, 81R50) | |
| dc.title | Normal Hopf subalgebras, depth two and Galois extensions | |
| dc.type | text |