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Poisson Lie groups and pentagonal transformations

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Publication:1194348
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DOI10.1007/BF00429998zbMath0790.58020WikidataQ115394998 ScholiaQ115394998MaRDI QIDQ1194348

Stanislaw Zakrzewski

Publication date: 27 September 1992

Published in: Letters in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

Poisson Lie groupsManin groupssymplectic pentagonal transformation


Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)


Related Items (4)

Set-theoretical solutions of the Yang-Baxter and pentagon equations on semigroups ⋮ Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices ⋮ The pentagon relation and incidence geometry ⋮ Set-theoretical solutions of the pentagon equation on groups



Cites Work

  • Quantum and classical pseudogroups. I: Union pseudogroups and their quantization
  • Quantum and classical pseudogroups. II: Differential and symplectic pseudogroups
  • Quantum deformations of the Heisenberg group obtained by geometric quantization
  • Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres


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