English

Constructible characters and canonical bases

Quantum Algebra 2007-05-23 v1

Abstract

We give closed formulas for all vectors of the canonical basis of a level 2 irreducible integrable representation of Uv(sl)U_v(sl_\infty). These formulas coincide at v=1 with Lusztig's formulas for the constructible characters of the Iwahori-Hecke algebras of type B and D.

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Cite

@article{arxiv.math/0303385,
  title  = {Constructible characters and canonical bases},
  author = {Bernard Leclerc and Hyohe Miyachi},
  journal= {arXiv preprint arXiv:math/0303385},
  year   = {2007}
}

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16 pages