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Proof of the GGS Conjecture

Proof of the GGS Conjecture

We prove the GGS conjecture [GGS] (1993), which gives a particularly simple explicit quantization of classical r-matrices for Lie algebras gl(n), in terms of a matrix R ∈ Mat n (C ) ⊗ Mat n (C ) which satisfies the quantum Yang-Baxter equation (QYBE) and the Hecke condition, whose quasiclassical …