2 papers
math.QA2000
Quantum Jordanian twist
Vladimir Lyakhovsky, Alexandr Mirolubov, Mariano del Olmo
The quantum deformation of the Jordanian twist F_qJ for the standard quantum Borel algebra U_q(B) is constructed. It gives the family U_qJ(B) of quantum algebras depending on param…
q-alg1996
On the existence of deformed Lie-Poisson structures for quantized groups
V. D. Lyakhovsky, A. M. Mirolubov
The geometrical description of deformation quantization based on quantum duality principle makes it possible to introduce deformed Lie-Poisson structure. It serves as a natural ana…