Irreducible representations of the central extension of Sl(2) ΛT2

DOI10.1063/1.525184zbMath0484.17003OpenAlexW2062507810MaRDI QIDQ3943104

J. W. B. Hughes

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.525184

zbMATH Keywords

irreducible representationsHeisenberg commutation relationcentral extensionprincipal series

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15)

Related Items (3)

The nuclear collective WSp(6,R) model ⋮ SU(2)×SU(2) shift operators and representations of SO(5) ⋮ BORN RECIPROCITY IN TWO DIMENSIONS: QUAPLECTIC GROUP SYMMETRY, BRANCHING RULES AND STATE LABELLING

Cites Work

• O(3) shift operators: The general analysis
• Representations of Osp(2, 1) and the metaplectic representation
• On non-compact groups. II. Representations of the 2+1 Lorentz group

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