A decomposition formula for the Kazhdan-Lusztig basis of affine Hecke algebras of rank 2
classification
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decompositionaffinealgebrasbasisformulaheckekazhdan-lusztigrank
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In this paper, we prove a decomposition formula for the Kazhdan-Lusztig basis of affine Hecke algebras of rank 2 with positive weight function. Then we discuss some applications of this kind of decomposition to Lusztig's conjectures P1-P15.
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