Abstract
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 |
|---|---|
| Article number | 012116 |
| Journal | Journal of Physics: Conference Series |
| Volume | 343 |
| DOIs | |
| State | Published - 2012 |
| Externally published | Yes |
| Event | 7th International Conference on Quantum Theory and Symmetries, QTS7 - Prague, Czech Republic Duration: 7 Aug 2011 → 13 Aug 2011 |
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