An imaginary PBW basis for quantum affine algebras of type 1

Ben Cox; Vyacheslav Futorny; Kailash C. Misra

An imaginary PBW basis for quantum affine algebras of type 1

Representation Theory 2014-03-31 v2

Authors: Ben Cox , Vyacheslav Futorny , Kailash C. Misra

Abstract

Let $\hat{\mathfrak g}$ be an affine Lie algebra of type 1. We give a PBW basis for the quantum affine algebra $U_q(\hat{\mathfrak g})$ with respect to the triangular decomposition of $\hat{\mathfrak g}$ associated with the imaginary positive root system.

Keywords

quantum affine algebras PBW basis affine Lie algebras imaginary positive root system triangular decomposition type 1

Cite

@article{arxiv.1307.2941,
  title  = {An imaginary PBW basis for quantum affine algebras of type 1},
  author = {Ben Cox and Vyacheslav Futorny and Kailash C. Misra},
  journal= {arXiv preprint arXiv:1307.2941},
  year   = {2014}
}

Comments

Introduction rewritten plus some typos corrected

An imaginary PBW basis for quantum affine algebras of type 1

Abstract

Keywords

Cite

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