Transposed Poisson structures on Galilean and solvable Lie algebras
I Kaygorodov, V Lopatkin, Z Zhang - Journal of Geometry and Physics, 2023 - Elsevier
Transposed Poisson structures on complex Galilean type Lie algebras and superalgebras
are described. It is proven that all principal Galilean Lie algebras do not have non-trivial 1 2 …
are described. It is proven that all principal Galilean Lie algebras do not have non-trivial 1 2 …
[HTML][HTML] Conformal Newton–Hooke symmetry of Pais–Uhlenbeck oscillator
K Andrzejewski, A Galajinsky, J Gonera, I Masterov - Nuclear Physics B, 2014 - Elsevier
It is demonstrated that the Pais–Uhlenbeck oscillator in arbitrary dimension enjoys the l-
conformal Newton–Hooke symmetry provided frequencies of oscillation form the arithmetic …
conformal Newton–Hooke symmetry provided frequencies of oscillation form the arithmetic …
[HTML][HTML] Towards ℓ-conformal Galilei algebra via contraction of the conformal group
I Masterov - Nuclear Physics B, 2024 - Elsevier
We show that the Inönü-Wigner contraction of so (ℓ+ 1, ℓ+ d) with the integer ℓ> 1 may lead
to algebra which contains a variety of conformal extensions of the Galilei algebra as …
to algebra which contains a variety of conformal extensions of the Galilei algebra as …
Quadratic algebras as commutants of algebraic Hamiltonians in the enveloping algebra of Schrödinger algebras
R Campoamor-Stursberg, I Marquette - Annals of Physics, 2022 - Elsevier
We discuss a procedure to determine finite sets M within the commutant of an algebraic
Hamiltonian in the enveloping algebra of a Lie algebra g such that their generators define a …
Hamiltonian in the enveloping algebra of a Lie algebra g such that their generators define a …
[HTML][HTML] Conformal Newton–Hooke algebras, Niederer's transformation and Pais–Uhlenbeck oscillator
K Andrzejewski - Physics Letters B, 2014 - Elsevier
Dynamical systems invariant under the action of the l-conformal Newton–Hooke algebras
are constructed by the method of nonlinear realizations. The relevant first order Lagrangians …
are constructed by the method of nonlinear realizations. The relevant first order Lagrangians …
[HTML][HTML] Hamiltonian formalisms and symmetries of the Pais–Uhlenbeck oscillator
K Andrzejewski - Nuclear Physics B, 2014 - Elsevier
The study of the symmetry of Pais–Uhlenbeck oscillator initiated in Andrzejewski et
al.(2014)[24] is continued with special emphasis put on the Hamiltonian formalism. The …
al.(2014)[24] is continued with special emphasis put on the Hamiltonian formalism. The …
[HTML][HTML] On dynamical realizations of l-conformal Galilei and Newton–Hooke algebras
A Galajinsky, I Masterov - Nuclear Physics B, 2015 - Elsevier
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 half-integer l has been …
theory of the centrally extended l-conformal Galilei algebra with half-integer l has been …
Dynamical realizations of N=1 l-conformal Galilei superalgebra
I Masterov - Journal of Mathematical Physics, 2014 - pubs.aip.org
In recent years nonrelativistic (super) conformal algebras have attracted considerable
attention. 1–35 On the one hand, this interest originates from the current investigation of the …
attention. 1–35 On the one hand, this interest originates from the current investigation of the …
A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras
F Alshammari, PS Isaac… - Journal of Physics A …, 2018 - iopscience.iop.org
We introduce a search algorithm that utilises differential operator realisations to find
polynomial Casimir operators of Lie algebras. To demonstrate the algorithm, we look at two …
polynomial Casimir operators of Lie algebras. To demonstrate the algorithm, we look at two …
The Lie algebra of the lowest transitively differential group of degree three
AM Grundland, I Marquette - Journal of Physics A: Mathematical …, 2023 - iopscience.iop.org
We investigate the real Lie algebra of first-order differential operators with polynomial
coefficients, which is subject to the following requirements.(1) The Lie algebra should admit …
coefficients, which is subject to the following requirements.(1) The Lie algebra should admit …