30 citations · 374 across the 33 of their papers we have counts for
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The structure of invariants in conformal mechanics
Tigran Hakobyan, David Karakhanyan, Olaf Lechtenfeld
We investigate the integrals of motion of general conformal mechanical systems with and without confining harmonic potential as well as of the related angular subsystems, by employ…
Baxter operators for arbitrary spin II
D. Chicherin, S. Derkachov, D. Karakhanyan +1
This paper presents the second part of our study devoted to the construction of Baxter operators for the homogeneous closed XXX spin chain with the quantum space carrying infinite…
Baxter operators for arbitrary spin
D. Chicherin, S. Derkachov, D. Karakhanyan +1
We construct Baxter operators for the homogeneous closed spin chain with the quantum space carrying infinite or finite dimensional representations. All alg…
Jordan-Schwinger Representations and Factorised Yang-Baxter Operators
David Karakhanyan, Roland Kirschner
The construction elements of the factorised form of the Yang-Baxter R operator acting on generic representations of q-deformed sl(n+1) are studied. We rely on the iterative constru…
Iterative construction of representations and Lax matrix factorisation
S. Derkachov, D. Karakhanyan, R. Kirschner +1
The construction of a generic representation of or of the trigonomentric deformation of its enveloping algebra known as algebraic induction is conveniently formulated…
Yang-Baxter R operators and parameter permutations
S. Derkachov, D. Karakhanyan, R. Kirschner
We present an uniform construction of the solution to the Yang- Baxter equation with the symmetry algebra and its deformations: the q-deformation and the elliptic deform…