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Results tagged with tilting
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user 919
Questions about tilting theory, including questions on tilting modules, tilting sheaves, tilting complexes, and tilting objects.
4
votes
Accepted
Perverse tilting sheaves
In this case $D$ is equivalent to a suitable derived category of modules over $End(T)$ ("tilting theory").
In general, describing all tilting complexes in $T$ is hopeless. … Only recently did I understand, but leave this as a tilting exercise for the interested reader. …
- 6,162
7
votes
Accepted
What is the remaining difficulty in the proof of the Humphreys conjecture (on the support va...
The paper Silting complexes of coherent sheaves and the Humphreys conjecture by Achar and Hardesty proves this conjecture in full generality (for $p \ge h$).
- 6,162
8
votes
Socle of tilting modules in the BGG category $\mathcal{O}$ over a semisimple Lie algebra
Thus the socle of any object with Verma flag (in particular a tilting module) is isomorphic to a direct sum of copies of $L_{w_0}$. … "Tilting exercises" or Soergel's papers on tilting modules.
(I deleted the longer version of the answer, because this seems much cleaner than earlier attempts.) …
- 6,162