Abstract

We prove the following theorem: if a subalgebraB of an algebraG is spanned by root vectors, then ifX is a regular element ofG, the limit {ie160-1} Ad exptX(B) exists and is isomorphic toB, i.e.B “survives” contraction withX. The algebraSL(2C) is considered as an example. In particular it is shown thatSL(2C) itself survives and applications to relativistic scattering theory are indicated.

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