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19912023
most citedClassical and Quantum Mechanics of Free \k Relativistic Systems

444 citations · 3.1k across the 111 of their papers we have counts for

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hep-th2006

Quantum -deformations of D=4 relativistic supersymmetries

Jerzy Lukierski

We describe the quantum -deformation of super-Poincaré algebra, with fundamental mass-like deformation parameter . We shall describe the result in graded bicrossproduct basis…

hep-th2006★ 15 cited

Twistorial versus space--time formulations: unification of various string models

Sergey Fedoruk, Jerzy Lukierski

We introduce the D=4 twistorial tensionfull bosonic string by considering the canonical twistorial 2--form in two--twistor space. We demonstrate its equivalence to two bosonic stri…

hep-th2006★ 14 cited

Jordanian Twist Quantization of D=4 Lorentz and Poincare Algebras and D=3 Contraction Limit

A. Borowiec, J. Lukierski, V. N. Tolstoy

We describe in detail two-parameter nonstandard quantum deformation of D=4 Lorentz algebra , linked with Jordanian deformation of .…

hep-th2006★ 4 cited

Quantum Deformations of Einstein's Relativistic Symmetries

Jerzy Lukierski

We shall outline two ways of introducing the modification of Einstein's relativistic symmetries of special relativity theory - the Poincaré symmetries. The most complete way of int…

hep-th2006★ 20 cited

Galilean Exotic Planar Supersymmetries and Nonrelativistic Supersymmetric Wave Equations

J. Lukierski, I. Prochnicka, P. C. Stichel +1

We describe the general class of -extended Galilean supersymmetries obtained, respectively, from the -extended D=3 Poincaré superalgebras with maximal sets of centr…