A characterization of linearly semisimple groups
✍ Scribed by Amelia Álvarez; Pedro Sancho; Carlos Sancho
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2010
- Tongue
- English
- Weight
- 206 KB
- Volume
- 27
- Category
- Article
- ISSN
- 1439-7617
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📜 SIMILAR VOLUMES
This paper answers a question posed by Jean-Pierre Serre; namely, a proof is given that if V is a semisimple finite dimensional representation of a group G over Ž . m a field K of characteristic p ) 0, and m dim V y mp, then H V is again a K semisimple representation of G.
We explore the possibility of introducing the concept of a quantum semisimple group by exhibmng a class of deformations of classical groups whose Dynkin diagrams are disconnected at the classical level, but become connected at the quantum level. The possibility of applications to the quantizatlon of