| Autor: |
Bendel, Christopher P., Nakano, Daniel K., Pillen, Cornelius, Sobaje, Paul |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Representation Theory, 26 (2022), 455-497 |
| Druh dokumentu: |
Working Paper |
| Popis: |
In this paper the authors provide a complete answer to Donkin's Tilting Module Conjecture for all rank $2$ semisimple algebraic groups and $\text{SL}_{4}(k)$ where $k$ is an algebraically closed field of characteristic $p>0$. In the process, new techniques are introduced involving the existence of $(p,r)$-filtrations, Lusztig's character formula, and the $G_{r}$T-radical series for baby Verma modules. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
