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On extended graphical calculus for categorified quantum sl(n)

2016/05/22 by Stosic, Marko
#81R50 (Primary) 17B37 (Secondary) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1605.06810

Abstract

We study the properties of the extended graphical calculus for categorified quantum sl(n). The main results include proofs of Reidemeister 2 and Reidemeister 3-like moves involving strands corresponding to arbitrary thicknesses and arbitrary colors -- the results that were anounced in [M. Stosic: Indecomposable objects and Lusztig's canonical basis, Math. Res. Lett. 22, no. 1 (2015), 245-278].

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