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arxiv: math/0303385 · v1 · submitted 2003-03-31 · 🧮 math.QA

Constructible characters and canonical bases

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keywords formulascanonicalcharactersconstructiblealgebrasbasesbasisclosed
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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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