Equivariant Sheaves on Flag Varieties
classification
🧮 math.RT
keywords
flagsheavescategoryderivedequivariantvarietiesalgebraborel-equivariant
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We show that the Borel-equivariant derived category of sheaves on the flag variety of a complex reductive group is equivalent to the perfect derived category of dg modules over the extension algebra of the direct sum of the simple equivariant perverse sheaves. This proves a conjecture of Soergel and Lunts in the case of flag varieties.
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