The second Gelfand-Dickey bracket as a bracket on a Poisson-Lie Grassmannian

DOI10.1007/BF02100486zbMath0793.58018MaRDI QIDQ1315003

Ilya Zakharevich

Publication date: 30 August 1994

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

zbMATH Keywords

Poisson structureGrassmanniansecond Gel'fand-Dikij structure

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Grassmannians, Schubert varieties, flag manifolds (14M15) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17)

Related Items (1)

Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian

Cites Work

• Semi-infinite Weil complex and the Virasoro algebra
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Poisson-Lie group of pseudodifferential symbols
• Dressing transformations and Poisson group actions

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