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A PROOF OF THE KAZHDAN-LUSZTIG PURITY THEOREM VIA THE DECOMPOSITION THEOREM OF BBD
KAZHDAN-LUSZTIG DECOMPOSITION
2015/9/29
The ˉrst ingredient is quite deep, and we will not say anything much about its
proof, using it simply as a \black box". The second ingredient is elementary, and
we take this opportunity to present a...
Decomposition Theorem for Perverse sheaves on Artin stacks
Decomposition Theorem Perverse sheaves Artin stacks
2010/12/10
We generalize the decomposition theorem for perverse sheaves to Artin stacks with affine automorphism groups over finite fields and over the complex numbers. During the proof, we also give the generic...
The Factor Decomposition Theorem of Bounded Generalized Inverse Modules and Their Topological Continuity
factor decomposition generalized inverse module map
2007/12/10
In this paper we obtain a Douglas type factor decomposition theorem about certain important bounded module maps. Thus, we come to the discussion of the topological continuity of $bounded \;generalized...