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Poisson-Lie T-Duality and Bianchi Type Algebras

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arxiv hep-th/9903152 v2 pith:NV34GPLJ submitted 1999-03-17 hep-th

M. A. Jafarizadeh , A. Rezaei-Aghdam This is my paper · ORCID
classification hep-th
keywords beenbialgebraspoisson-liebianchiobtainedadjointalgebrasassociated
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All Bianchi bialgebras have been obtained. By introducing a non-degenerate adjoint invariant inner product over these bialgebras the associated Drinfeld doubles have been constructed, then by calculating the coupling matrices for these bialgebras several sigma-models with Poisson-Lie symmetry have been obtained. Two simple examples as prototypes of Poisson-Lie dual models have been given.

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  1. Classification of Six-dimensional Real Nilpotent Lie Bialgebras of Symplectic Type and their Poisson-Lie Groups

    math-ph 2026-07 reject novelty 4.0 of 10

    A claimed complete classification of six-dimensional nilpotent symplectic-type Lie bialgebras, presented as tables with only one worked derivation and with internal inconsistencies in the Poisson-bracket and applicati...

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