Regions of Linearity, Lusztig Cones, and Canonical Basis Elements for the Quantized Enveloping Algebra of Type A4☆

@article{Carter2000RegionsOL,
  title={Regions of Linearity, Lusztig Cones, and Canonical Basis Elements for the Quantized Enveloping Algebra of Type A4☆},
  author={Roger Carter and B. Marsh},
  journal={Journal of Algebra},
  year={2000},
  volume={234},
  pages={545-603}
}
  • Roger Carter, B. Marsh
  • Published 2000
  • Mathematics
  • Journal of Algebra
  • Abstract Let U q be the quantum group associated to a Lie algebra g of rank n . The negative part U −  of U has a canonical basis B with favourable properties (see M. Kashiwara (1991, Duke Math. J. 63 , 465–516) and G. Lusztig (1993. “Introduction to Quantum Groups,” Sect. 14.4.6, Birkhauser, Boston)). The approaches of Lusztig and Kashiwara lead to a set of alternative parametrizations of the canonical basis, one for each reduced expression for the longest word in the Weyl group of g . We show… CONTINUE READING
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