110 citations · 508 across the 30 of their papers we have counts for
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math.QA2003
Poisson formula for a family of non-commutative Lobachevsky spaces
M. Olshanetsky, V. Rogov
We define an analog of the Poisson integral formula for a family of the non-commutative Lobachevsky spaces. The -Fourier transform of the Poisson kernel is expressed through the…
hep-th2003★ 28 cited
Classical R-Matrices and the Feigin-Odesskii Algebra via Hamiltonian and Poisson Reductions
H. W. Braden, V. A. Dolgushev, M. A. Olshanetsky +1
We present a formula for a classical -matrix of an integrable system obtained by Hamiltonian reduction of some free field theories using pure gauge symmetries. The framework of…
hep-th2003★ 2 cited
Hamiltonian Algebroids and deformations of complex structures on Riemann curves
A. Levin, M. Olshanetsky
Starting with a Lie algebroid over a space we lift its action to the canonical transformations on the affine bundle over the cotangent bundle . Such…