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math.QAOct 20, 2009
4
citations (OpenAlex)
authors
  • David Hill
  • Joshua Sussan
arXiv abstractPDF
paper

The Khovanov-Lauda 2-category and categorifications of a level two quantum sl(n) representation

arXiv:0910.2496

Abstract

We construct 2-functors from a 2-category categorifying quantum sl(n) to 2-categories categorifying the irreducible representation of highest weight 2ωk​.

References in corpus (10)

  • A diagrammatic approach to categorification of quantum groups I
  • 2-Kac-Moody algebras
  • A functor-valued invariant of tangles
  • Graded decomposition numbers for cyclotomic Hecke algebras
  • A diagrammatic approach to categorification of quantum groups III
  • Highest weight categories arising from Khovanov's diagram algebra III: category O
  • sl(3)-Foams and the Khovanov-Lauda categorification of quantum sl(k)
  • Categorification of some level two representations of sl(n)
  • Matrix factorizations and intertwiners of the fundamental representations of quantum group U_q (sl_n)
  • Matrix factorizations and colored MOY graphs

Cited by in corpus (3)

  • Knot invariants and higher representation theory I: diagrammatic and geometric categorification of tensor products
  • An odd categorification of quantum sl(2)
  • On selfadjoint functors satisfying polynomial relations
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