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Consider a complex simple Lie algebra g of rank n. Denote by Π a system of simple roots, by W the corresponding Weyl group, consider a reduced expression w = s α1 • ... • s αt (each α i ∈ Π) of some w ∈ W and call diagram any subset of 1, ... ,t. We denote by U + [w] (or U w q (g)) the " quantum nilpotent " algebra defined as in [11]. We prove (theorem 5.3.(More)
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