54 citations · 777 across the 87 of their papers we have counts for
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solv-int1996★ 4 cited
Automorphisms of sl(2) and dynamical r-matrices
A. V. Tsiganov
Two outer automorphisms of infinite-dimensional representations of algebra are considered. The similar constructions for the loop algebras and yangians are presented. The c…
solv-int1996★ 14 cited
The Kowalewski top: a new Lax representation
A. V. Tsiganov
The 2x2 monodromy matrices for the Kowalewski top on the Lie algebras e(3), so(4) and so(3,1) are presented. The corresponding quadratic R-matrix structure is the dynamical deforma…
solv-int1996★ 33 cited
Quasi-point separation of variables for the Henon-Heiles system and a system with quartic potential
S. Rauch-Wojciechowski, A. V. Tsiganov
We examine the problem of integrability of two-dimensional Hamiltonian systems by means of separation of variables. The systematic approach to construction of the special non-pure…