Non-semisimple Hopf algebras of dimension p2
By Siu-Hung Ng. 2001
51 citations recorded by the source corpus.
Abstract Let H be a finite-dimensional Hopf algebra with antipode S of dimension pq over an algebraically closed field of characteristic 0, where p ⩽ q are odd primes. If H is not semisimple, then the order of S 4 is p , and Tr( S 2 p ) is an integer divisible by p 2 . In particular, if dim H = p 2 , we prove that H is isomorphic to a Taft algebra. This completes the classification for the Hopf algebras of dimension p 2 .
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/1055d13453b3a17b9b0de3f70ea02d84e1fae652
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- N. Andruskiewitsch
- I. Angiono
- István Heckenberger
- Hans Jürgen Schneider
- A. Masuoka
- Leandro Vendramin
- M. Graña
In Geometry and Topology
- N. Andruskiewitsch
- I. Angiono
- István Heckenberger
- Hans Jürgen Schneider
- A. Masuoka
- Leandro Vendramin
- M. Graña
In Statistical and Nonlinear Physics
Citations in the corpus
- On finite-dimensional Hopf algebras (2014, background): “Various basic fundamental results are not explicitly cited, we refer to [1, 62, 66, 75, 79, 83] for them; classifications of Hopf algebras of fixed dimensions are not evoked, see [21, 71, 86].”