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 (US)
Article number012116
JournalJournal of Physics: Conference Series
Volume343
DOIs
StatePublished - 2012
Event7th International Conference on Quantum Theory and Symmetries, QTS7 - Prague, Czech Republic
Duration: Aug 7 2011Aug 13 2011

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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