The parabolic exotic t-structure
Abstrak
Let G be a connected reductive algebraic group over an algebraically closed field k, with simply connected derived subgroup. The exotic t-structure on the cotangent bundle of its flag variety T^*(G/B), originally introduced by Bezrukavnikov, has been a key tool for a number of major results in geometric representation theory, including the proof of the graded Finkelberg-Mirkovic conjecture. In this paper, we study (under mild technical assumptions) an analogous t-structure on the cotangent bundle of a partial flag variety T^*(G/P). As an application, we prove a parabolic analogue of the Arkhipov-Bezrukavnikov-Ginzburg equivalence. When the characteristic of k is larger than the Coxeter number, we deduce an analogue of the graded Finkelberg-Mirkovic conjecture for some singular blocks.
Topik & Kata Kunci
Penulis (3)
Pramod N Achar
Nicholas Cooney
Simon N. Riche
Akses Cepat
- Tahun Terbit
- 2018
- Sumber Database
- DOAJ
- DOI
- 10.46298/epiga.2018.volume2.4520
- Akses
- Open Access ✓