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19992020
most citedUnitary representations of $U_{q}(\mathfrak{sl}(2,\RR))$, the modular double, and the multiparticle q-deformed Toda chains

121 citations · 290 across the 15 of their papers we have counts for

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math.QA2005★ 7 cited

On a Class of Representations of Quantum Groups

A. Gerasimov, S. Kharchev, D. Lebedev +1

This paper is a short account of the construction of a new class of the infinite-dimensional representations of the quantum groups. The examples include finite-dimensional quantum…

math.QA2004

Representation theory and quantum integrability

A. Gerasimov, S. Kharchev, D. Lebedev

We describe new constructions of the infinite-dimensional representations of and for being and $\mathfrak{sl…

math.QA2002★ 9 cited

Representation Theory and the Quantum Inverse Scattering Method: The Open Toda Chain and the Hyperbolic Sutherland Model

A. Gerasimov, S. Kharchev, D. Lebedev

Using the representation theory of $\frak{gl}(N,\RR)$, we express the wave function of the $GL(N,\RR)$ Toda chain, which two of us recently obtained by the Quantum Inverse Scatteri…