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Categorified quantum sl(2) and equivariant cohomology of iterated flag varieties

A 2-category was introduced in arXiv:0803.3652 [math.QA] that categorifies Lusztig's integral version of quantum sl(2). Here we construct for each positive integer N arepresentation of this 2-category using the equivariant cohomology of iterated flag varieties. This representation categorifies the irreducible (N+1)-dimensional representation of quantum sl(2).

preprint2008arXivOpen access
Aaron D. Lauda
math.QA
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Aaron D. Lauda

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