TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysProc.14.043
TI  - Segal's contractions, AdS and conformal groups
PY  - 2023/11/24
UR  - https://scipost.org/SciPostPhysProc.14.043
JF  - SciPost Physics Proceedings
JA  - SciPost Phys. Proc.
VL  - 
IS  - 14
SP  - 043
A1  - Sternheimer, Daniel
AB  - Symmetries and their applications always played an important role in I.E. Segal's work. I shall exemplify this, starting with his correct proof (at the Lie group level) of what physicists call the "O'Raifeartaigh theorem", continuing with his incidental introduction in 1951 of the (1953) Inönü-Wigner contractions, of which the passage from AdS (SO(2,3)) to Poincaré is an important example, and with his interest in conformal groups in the latter part of last century. Since the 60s Flato and I had many fruitful interactions with him around these topics. In a last section I succintly relate these interests in symmetries with several of ours, especially elementary particles symmetries and deformation quantization, and with an ongoing program combining both.
ER  -

@Article{10.21468/SciPostPhysProc.14.043,
	title={{Segal's contractions, AdS and conformal groups}},
	author={Daniel Sternheimer},
	journal={SciPost Phys. Proc.},
	pages={043},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysProc.14.043},
	url={https://scipost.org/10.21468/SciPostPhysProc.14.043},
}