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The Antipode of a Dual Quasi-Hopf Algebra with Nonzero Integrals is Bijective
| Content Provider | Semantic Scholar |
|---|---|
| Author | Beattie, Margaret Iovanov, Miodrag Cristian Raianu, S. |
| Copyright Year | 2008 |
| Abstract | For a Hopf algebra A of arbitrary dimension over a field K, it is well-known that if A has nonzero integrals, or, in other words, if the coalgebra A is co-Frobenius, then the space of integrals is one-dimensional and the antipode of A is bijective. Bulacu and Caenepeel recently showed that if H is a dual quasi-Hopf algebra with nonzero integrals, then the space of integrals is one-dimensional, and the antipode is injective. In this short note we show that the antipode is bijective. |
| Starting Page | 251 |
| Ending Page | 255 |
| Page Count | 5 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s10468-009-9148-3 |
| Volume Number | 12 |
| Alternate Webpage(s) | http://arxiv.org/pdf/0805.2401v1.pdf |
| Alternate Webpage(s) | http://dornsife.usc.edu/assets/sites/199/docs/Papers/AntBijQHfinal.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/0805.2401v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s10468-009-9148-3 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
