22 citations · 130 across the 15 of their papers we have counts for
15 papers
Basic quantizations of Euclidean, Lorentz, Kleinian and quaternionic symmetries
A. Borowiec, J. Lukierski, V. N. Tolstoy
We construct firstly the complete list of five quantum deformations of complex homogeneous orthogonal Lie algebra $\mathfrak{o}(4;\mathbb{C})\cong \mathfrak{o}(3;\mathbb{C})\…
Quantum deformations of Euclidean, Lorentz, Kleinian and quaternionic symmetries in unified setting -- Addendum
A. Borowiec, J. Lukierski, V. N. Tolstoy
In our previous paper we obtained a full classification of nonequivalent quasitriangular quantum deformations for the complex Euclidean Lie symmetry $\mathfrak{o}(4;\mathbb{C…
Quantizations of D=3 Lorentz symmetry
J. Lukierski, V. N. Tolstoy
Using the isomorphism we develop a new simple algebraic technique for complete classification of quantum deformations…
Real and pseudoreal forms of D=4 complex Euclidean (super)algebras and super-Poincare / super-Euclidean r-matrices
Andrzej Borowiec, Jerzy Lukierski, Valerij N. Tolstoy
We provide the classification of real forms of complex D=4 Euclidean algebra as well as (…
New class of quantum deformations of D=4 Euclidean supersymmetry
A. Borowiec, J. Lukierski, M. Mozrzymas +1
We present the class of deformations of simple Euclidean superalgebra, which describe the supersymmetrization of some Lie algebraic noncommutativity of D=4 Euclidean space-time. Th…
N=1/2 Deformations of Chiral Superspaces from New Quantum Poincare and Euclidean Superalgebras
A. Borowiec, J. Lukierski, M. Mozrzymas +1
We present a large class of supersymmetric classical r-matrices, describing the supertwist deformations of Poincare and Euclidean superalgebras. We consider in detail new family of…