Cyclotomic quiver Hecke algebras of type A

  title={Cyclotomic quiver Hecke algebras of type A},
  author={Andrew Mathas},
  journal={arXiv: Representation Theory},
  • A. Mathas
  • Published 8 October 2013
  • Mathematics
  • arXiv: Representation Theory
This chapter is based on a series of lectures that I gave at the National University of Singapore in April 2013. The notes survey the representation theory of the cyclotomic Hecke algebras of type A with an emphasis on understanding the KLR grading and the connections between the "classical" ungraded representation theory and the rapidly emerging graded theory. They are fairly self-contained and they try to give a leisurely introduction to these algebras, with many examples and calculations… 
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