Contraction of Lie algebra representations

DOI10.1063/1.529107zbMath0751.17004OpenAlexW1995937926WikidataQ115331598 ScholiaQ115331598MaRDI QIDQ3987294

Evelyn Weimar-Woods

Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529107

zbMATH Keywords

generalized Inönü-Wigner contractionscontraction of irreducible unitary representationssemisimple compact Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (10)

CONTRACTIONS OF LIE ALGEBRA REPRESENTATIONS ⋮ Contractions of low-dimensional Lie algebras ⋮ Tensorial dynamics on the space of quantum states ⋮ Contractions of Lie algebras: Generalized Inönü–Wigner contractions versus graded contractions ⋮ Lie algebra of anomalously scaled fluctuations ⋮ Contractions of Lie algebras with 2-dimensional generic coadjoint orbits ⋮ Einstein-Hilbert action with cosmological term from Chern-Simons gravity ⋮ Unitary representations of three dimensional Lie groups revisited: A short tutorial via harmonic functions ⋮ Relativity symmetries and Lie algebra contractions ⋮ THE GENERAL STRUCTURE OF G-GRADED CONTRACTIONS OF LIE ALGEBRAS, II: THE CONTRACTED LIE ALGEBRA

Cites Work

• On contraction of Lie algebra representations
• Contraction of Lie Groups
• The three-dimensional real Lie algebras and their contractions
• On the Representations of the Semisimple Lie Groups. II
• Class of Representations of the IU(n) and IO(n) Algebras and Respective Deformations to U(n, 1), O(n, 1)
• On the Contraction of Groups and Their Representations

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