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- W2000458350 abstract "The chiral WZNW symplectic form Ω ρ chir is inverted in the general case. Thereby a precise relationship between the arbitrary monodromy dependent 2-form appearing in Ω ρ chir and the exchange r -matrix that governs the Poisson brackets of the group valued chiral fields is established. The exchange r -matrices are shown to satisfy a new dynamical generalization of the classical modified Yang–Baxter (YB) equation and Poisson–Lie (PL) groupoids are constructed that encode this equation analogously as PL groups encode the classical YB equation. For an arbitrary simple Lie group G , exchange r -matrices are found that are in one-to-one correspondence with the possible PL structures on G and admit them as PL symmetries." @default.
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- W2000458350 date "2000-03-01" @default.
- W2000458350 modified "2023-10-18" @default.
- W2000458350 title "Chiral extensions of the WZNW phase space, Poisson–Lie symmetries and groupoids" @default.
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- W2000458350 doi "https://doi.org/10.1016/s0550-3213(99)00738-5" @default.
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