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I am not sure this question is appropriate for MO.Some one told me that they have a new book talking about affine flags and schubert cell to calculate the intersection cohomologies and Kazhdan-Lusztig polynomial. But he did not remember the title for the book. I searched on google but nothing found. Anybody here know?

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Kashiwara isn't involved, but you could conceivably be thinking of the 2008 book 'D-Modules, Perverse Sheaves and Representation Theory' by Hotta, Takeuchi and Tanisaki. books.google.com/books?id=8ewkW5SC7DcC They do a lot of general stuff with D-modules first, then get to the Kazhdan-Lusztig stuff near the end. A manuscript is available online at math.harvard.edu/~gaitsgde/grad_2009/Hotta.pdf , so if you didn't know about this book, check it out. –  Saul Glasman Apr 21 '10 at 7:34

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