In this paper the frequently used procedures for contraction of Lie algebra representations which were introduced by Inönü and Wigner are reformulated using the notion of direct limit. A definition for contraction of Lie algebra representations based on this reformulation is given. The contractions of the skew-Hermitian irreducible representations of so(3) to those of iso(2) and of iso(1,1) to those of Heisenberg Lie algebra are given as examples.
|Original language||English (US)|
|Journal||Journal of Physics: Conference Series|
|State||Published - 2012|
|Event||7th International Conference on Quantum Theory and Symmetries, QTS7 - Prague, Czech Republic|
Duration: Aug 7 2011 → Aug 13 2011
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)