A definition of contraction of Lie algebra representations using direct limit

E. M. Subag, E. M. Baruch, J. L. Birman, A. Mann

Research output: Contribution to journalConference articlepeer-review

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 languageEnglish
Article number012116
Number of pages25
JournalJournal of Physics: Conference Series
Volume343
DOIs
StatePublished - 2012
Event7th International Conference on Quantum Theory and Symmetries, QTS7 - Prague, Czech Republic
Duration: 7 Aug 201113 Aug 2011

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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