1.

Casimir operators of centrally extended l conformal Galilei algebra
/ Galajinsky, Anton ; Masterov, Ivan
The full set of Casimir elements of the centrally extended l conformal Galilei algebra is found in simple and tractable form..
Published in Nuclear Physics B (2019)
10.1016/j.nuclphysb.2019.114618
Fulltext: PDF XML PDF (PDFA);

2.

N = 4 l conformal Galilei superalgebra
/ Galajinsky, Anton ; Masterov, Ivan
An N=4 supersymmetric extension of the l conformal Galilei algebra is constructed. [...]
Published in Physics letters B (2017)
10.1016/j.physletb.2017.05.086
Fulltext: PDF XML PDF (PDFA);

3.

Eisenhart lift for higher derivative systems
/ Galajinsky, Anton ; Masterov, Ivan
The Eisenhart lift provides an elegant geometric description of a dynamical system of second order in terms of null geodesics of the Brinkmanntype metric. [...]
Published in Physics letters B (2016)
10.1016/j.physletb.2016.11.059
Fulltext: XML PDF PDF (PDFA);

4.

N=2 supersymmetric oddorder Pais–Uhlenbeck oscillator
/ Masterov, Ivan
We consider an N=2 supersymmetric oddorder Pais–Uhlenbeck oscillator with distinct frequencies of oscillation. [...]
Published in Nuclear Physics B (2016)
10.1016/j.nuclphysb.2016.06.030
Fulltext: PDF XML PDF (PDFA);

5.

The oddorder Pais–Uhlenbeck oscillator
/ Masterov, Ivan
We consider a Hamiltonian formulation of the (2n+1) order generalization of the Pais–Uhlenbeck oscillator with distinct frequencies of oscillation. [...]
Published in Nuclear Physics B (2016)
10.1016/j.nuclphysb.2016.04.025
Fulltext: XML PDF PDF (PDFA);

6.

An alternative Hamiltonian formulation for the Pais–Uhlenbeck oscillator
/ Masterov, Ivan
Ostrogradsky's method allows one to construct Hamiltonian formulation for a higher derivative system. [...]
Published in Nuclear Physics B (2015)
10.1016/j.nuclphysb.2015.11.011
Fulltext: PDF XML PDF (PDFA);

7.

On dynamical realizations of l conformal Galilei and Newton–Hooke algebras
/ Galajinsky, Anton ; Masterov, Ivan
In two recent papers (Aizawa et al., 2013 [15] ) and (Aizawa et al., 2015 [16] ), representation theory of the centrally extended l conformal Galilei algebra with halfinteger l has been applied so as to construct second order differential equations exhibiting the corresponding group as kinematical symmetry. [...]
Published in Nuclear Physics B 896 (2015) 244254
10.1016/j.nuclphysb.2015.04.024
Fulltext: XML PDF PDF (PDFA);
