scientific article

zbMath0935.22016MaRDI QIDQ3139067

Alexandre Kirillov

Publication date: 4 May 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Lie algebrasinfinite-dimensional Lie groupsorbit methodBieberbach conjecture

Mathematics Subject Classification ID

Modular representations and characters (20C20) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie (super)algebras (17B65) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Lie algebras of Lie groups (22E60) Algebraic properties of function spaces in general topology (54C40) Coverings in algebraic geometry (14E20) Rings and algebras of continuous, differentiable or analytic functions (46E25)

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Merits and demerits of the orbit method ⋮ Symmetry reductions and exact solutions of two new generalized negative KdV type equations ⋮ Euler-Poincaré flows on \(\mathrm{sl}_{ n }\) opers and integrability ⋮ Diffeomorphism groups of compact manifolds ⋮ Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics ⋮ Antiplectic structure, diffeomorphism and generalized KdV family ⋮ Geometry of the Kaup-Newell equation ⋮ Camassa-Holm cuspons, solitons and their interactions via the dressing method ⋮ Projective and affine connections on \(S^{1}\) and integrable systems. ⋮ Virasoro action on pseudo-differential symbols and (noncommutative) supersymmetric peakon type integrable systems

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