Constructible characters and canonical bases
Bernard Leclerc, Hyohe Miyachi
Abstract
We give closed formulas for all vectors of the canonical basis of a level 2 irreducible integrable representation of Uv(sl∞). 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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