Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A

Jun Hu*, Andrew Mathas

*Corresponding author for this work

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Abstract

This paper constructs an explicit homogeneous cellular basis for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A.

Original languageEnglish
Pages (from-to)598-642
Number of pages45
JournalAdvances in Mathematics
Volume225
Issue number2
DOIs
Publication statusPublished - Oct 2010
Externally publishedYes

Keywords

  • Cellular algebras
  • Cyclotomic Hecke algebras
  • Khovanov-Lauda-Rouquier algebras

Cite this

Hu, J., & Mathas, A. (2010). Graded cellular bases for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A. Advances in Mathematics, 225(2), 598-642. https://doi.org/10.1016/j.aim.2010.03.002