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Categorified Quantum sl(2) and Equivariant Cohomology of Iterated Flag Varieties

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A 2-category was introduced in math.QA/0803.3652 that categorifies Lusztig’s integral version of quantum sl(2). Here we construct for each positive integer N a representation 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).

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  1. Department of Mathematics, Columbia University, New York, NY, 10027, USA

    Aaron D. Lauda

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  1. Aaron D. Lauda
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Correspondence to Aaron D. Lauda.

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Lauda, A.D. Categorified Quantum sl(2) and Equivariant Cohomology of Iterated Flag Varieties. Algebr Represent Theor 14, 253–282 (2011). https://doi.org/10.1007/s10468-009-9188-8

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