Lifting Polynomial Representations of SL<sub>2</sub>(<i>p</i><sup><i>r</i></sup>) from F<i><sub>p</sub> </i>to Z/<i>p<sup>s</sup></i>Z
We describe all of the irreducible polynomial F<sub>p</sub> SL<sub>2</sub>(p<sup>r</sup>) representations which lift to (Z/p<sup>s</sup>Z) SL<sub>2</sub>(p<sup>r</sup>) representations for s > 1, observing that they almost never do. We also show that two related indecomposable F<sub>p</sub> SL<sub>2</sub>(p<sup>r</sup>) representations cannot be lifted to Z/p<sup>s</sup>Z representations for s > 1.<div/>
Publication Details
- Journal
- Research Explorer (The University of Manchester)
- Published
- 2025-11-20
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00