most citedHamiltonian Algebroids and deformations of complex structures on Riemann curves

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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…

math.QA2001

Unitary Representations of Quantum Lorentz Group and Quantum Relativistic Toda Chain

M. A. Olshanetsky, V. -B. K. Rogov

The aim of this paper is to give a group theoretical interpretation of the three types of Bessel-Jackson functions. We consider a family of quantum Lorentz groups and a family of q…