TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.14.048
TI  - Extensions of realisations for low-dimensional Lie algebras
PY  - 2023/11/24
UR  - https://scipost.org/SciPostPhysProc.14.048
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 14
SP  - 048
A1  - Yehorchenko, Iryna
AB  - We find extensions of realisations of some low-dimensional Lie algebras, in particular, for the Poincaré algebra for one space dimension. Using inequivalent extensions, we performed comprehensive classification of relative differential invariants for these Lie algebras. We show difference between classification of extensions of realisations, and classification of nonlinear realisations of Lie algebras.
ER  -

@Article{10.21468/SciPostPhysProc.14.048,
	title={{Extensions of realisations for low-dimensional Lie algebras}},
	author={Iryna Yehorchenko},
	journal={SciPost Phys. Proc.},
	pages={048},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.14.048},
	url={https://scipost.org/10.21468/SciPostPhysProc.14.048},
}