Provably fair representations
Machine learning systems are increasingly used to make decisions about people's lives,
such as whether to give someone a loan or whether to interview someone for a job. This has …
such as whether to give someone a loan or whether to interview someone for a job. This has …
[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 …
Z2× Z2 generalizations of 𝒩= 2 super Schrödinger algebras and their representations
We generalize the real and chiral N= 2 super Schrödinger algebras to Z 2× Z 2-graded Lie
superalgebras. This is done by D-module presentation, and as a consequence, the D …
superalgebras. This is done by D-module presentation, and as a consequence, the D …
Dynamical realization of l-conformal Galilei algebra and oscillators
A Galajinsky, I Masterov - Nuclear Physics B, 2013 - Elsevier
The method of nonlinear realizations is applied to the l-conformal Galilei algebra to construct
a dynamical system without higher derivative terms in the equations of motion. A …
a dynamical system without higher derivative terms in the equations of motion. A …
Z2× Z2 generalizations of N= 1 superconformal Galilei algebras and their representations
We introduce two classes of novel color superalgebras of Z 2× Z 2 grading. This is done by
realizing members of each class within the universal enveloping algebra of the N= 1 …
realizing members of each class within the universal enveloping algebra of the N= 1 …
On dynamical realizations of l-conformal Galilei groups
K Andrzejewski, J Gonera, P Kosiński, P Maślanka - Nuclear Physics B, 2013 - Elsevier
We consider the dynamics invariant under the action of l-conformal Galilei group using the
method of nonlinear realizations. We find that by an appropriate choice of the coset space …
method of nonlinear realizations. We find that by an appropriate choice of the coset space …
Chiral and Real N= 2 supersymmetric l-conformal Galilei algebras
Inequivalent N= 2 supersymmetrizations of the l-conformal Galilei algebra in d-spatial
dimensions are constructed from the chiral (2, 2) and the real (1, 2, 1) basic supermultiplets …
dimensions are constructed from the chiral (2, 2) and the real (1, 2, 1) basic supermultiplets …
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 …
Quantum conformal mechanics emerging from unitary representations of SL (2, R)
K Andrzejewski - Annals of Physics, 2016 - Elsevier
The quantum mechanics of one degree of freedom exhibiting the exact conformal SL (2, R)
symmetry is presented. The starting point is the classification of the unitary irreducible …
symmetry is presented. The starting point is the classification of the unitary irreducible …