Mathematics – Quantum Algebra
Scientific paper
2008-03-27
Algebras and Representation Theory: Vol 14, No 2 (2011), 253-282, 2011
Mathematics
Quantum Algebra
24 pages, LaTeX2e with xypic diagrams. v2 updates notation to match arXiv:0807.3250 and corrects misprints
Scientific paper
10.1007/s10468-009-9188-8
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).
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