123 citations · 249 across the 30 of their papers we have counts for
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q-alg1995★ 2 cited
Gauss Decomposition for Quantum Groups and Duality
E. V. Damaskinski, P. P. Kulish, V. V. Lyakhovsky +1
The Gauss decomposition of quantum groups and supergroups are considered. The main attention is paid to the R-matrix formulation of the Gauss decomposition and its properties as we…
q-alg1995
Classical Limits, Quantum Duality and Lie-Poisson Structures
V. D. Lyakhovsky
Quantum duality principle is applied to study classical limits of quantum algebras and groups. For a certain type of Hopf algebras the explicit procedure to construct both classica…
q-alg1995★ 13 cited
Recursion relations and branching rules for simple Lie algebras
V. D. Lyakhovsky
The branching rules between simple Lie algebras and its regular (maximal) simple subalgebras are studied. Two types of recursion relations for anomalous relative multiplicities are…