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math.QA2010★ 15 cited
A diagrammatic categorification of the q-Schur algebra
Marco Mackaay, Marko Stosic, Pedro Vaz
In this paper we categorify the q-Schur algebra S(n,d) as a quotient of Khovanov and Lauda's diagrammatic 2-category U(sln). We also show that our 2-category contains Soergel's mon…
math.QA2010★ 29 cited
Extended graphical calculus for categorified quantum sl(2)
Mikhail Khovanov, Aaron D. Lauda, Marco Mackaay +1
A categorification of the Beilinson-Lusztig-MacPherson form of the quantum sl(2) was constructed in the paper arXiv:0803.3652 by the second author. Here we enhance the graphical ca…