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Twisting functors on ????
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This paper studies twisting functors on the main block of the Bernstein-Gelfand-Gelfand category
O
\mathcal {O}
and describes what happens to (dual) Verma modules. We consider properties of the right adjoint functors and show that they induce an auto-equivalence of derived categories. This allows us to give a very precise description of twisted simple objects. We explain how these results give a reformulation of the Kazhdan-Lusztig conjectures in terms of twisting functors.
Title: Twisting functors on ????
Description:
This paper studies twisting functors on the main block of the Bernstein-Gelfand-Gelfand category
O
\mathcal {O}
and describes what happens to (dual) Verma modules.
We consider properties of the right adjoint functors and show that they induce an auto-equivalence of derived categories.
This allows us to give a very precise description of twisted simple objects.
We explain how these results give a reformulation of the Kazhdan-Lusztig conjectures in terms of twisting functors.
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