On the antipode of a quasitriangular Hopf algebra
β Scribed by David E Radford
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 630 KB
- Volume
- 151
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let X s GM be a finite group factorisation. It is shown that the quantum Ε½ . ## Ε½ . double D H of the associated bicrossproduct Hopf algebra This provides a class of bicrossproduct Hopf algebras which are quasitriangular. We also construct a subgroup Y X associated to every order-reversing automo
The trace of powers of the square of the antipode s 2 of a finite-dimensional Hopf algebra A over a field k is studied. It is shown in many cases that the trace function vanishes on s 2m when s 2m = 1 A . Finer properties of the antipode are related to this phenomenon.  2002 Elsevier Science (USA)
The authors showed previously on Frobenius algebras and quantum Yang-Baxter . equation, II, preprint, TRITA-MAT-1995, February 1995 that every Frobenius algebra over a commutative ring defines a solution of the quantum Yang-Baxter equation. Applying this result to Hopf algebras over commutative ring