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Constructible characters and canonical bases

Bernard Leclerc·Hyohe Miyachi
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Abstract

We give closed formulas for all vectors of the canonical basis of a level 2 irreducible integrable representation of $U_v(sl_\infty)$. 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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Bernard Leclerc, Hyohe Miyachi. 2003-03-31. Constructible characters and canonical bases. https://arxiv.org/abs/math/0303385

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