Constructible characters and canonical bases

Details Constructible characters and canonical bases Constructible characters and canonical bases

2003-03-31

arxiv.org/abs/math/0303385v1

Mathematics

Quantum Algebra

16 pages

Scientific paper

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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