106 citations · 293 across the 11 of their papers we have counts for
12 papers
Solvable Structures for Hamiltonian Systems
Sasa Kresic-Juric, Concepcion Muriel, Adrian Ruiz
In this paper, we investigate solvable structures associated to Hamiltonian equations. For a completely integrable Hamiltonian system with degrees of freedom, we construct a ca…
Symmetric ordering and Weyl realizations for quantum Minkowski spaces
Stjepan Meljanac, Zoran Škoda, Sasa Kresic-Juric
Symmetric ordering and Weyl realizations for non commutative quantum Minkowski spaces are reviewed. Weyl realizations of Lie deformed spaces and corresponding star products, as wel…
Generalized Heisenberg algebra applied to realizations of the orthogonal, Lorentz and Poincare algebras and their dual extensions
Stjepan Meljanac, Tea Martinic-Bilac, Sasa Kresic-Juric
We introduce the generalized Heisenberg algebra and construct realizations of the orthogonal and Lorentz algebras by power series in a semicompletion of $\mathcal{H…
Realization of bicovariant differential calculus on the Lie algebra type noncommutative spaces
Stjepan Meljanac, Sasa Kresic-Juric, Tea Martinic
This paper investigates bicovariant differential calculus on noncommutative spaces of the Lie algebra type. For a given Lie algebra we construct a Lie superalgebra $g=g_0\opl…
The Weyl realizations of Lie algebras and left-right duality
Stjepan Meljanac, Sasa Kresic-Juric, Tea Martinic
We investigate dual realizations of non--commutative spaces of Lie algebra type in terms of formal power series in the Weyl algebra. To each realization of a Lie algebra $\g$ we as…
Differential algebras on kappa-Minkowski space and action of the Lorentz algebra
Stjepan Meljanac, Sasa Kresic-Juric, Rina Strajn
We propose two families of differential algebras of classical dimension on kappa-Minkowski space. The algebras are constructed using realizations of the generators as formal power…