Invariant differential operators for non-compact Lie groups: The main su(n, n) cases

Journal Article · Thu Aug 15 00:00:00 EDT 2013 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778813080073· OSTI ID:22212680

Dobrev, V. K., E-mail: [e-mail] ^[1]

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1. Bulgarian Academy of Sciences, Institute of Nuclear Research and Nuclear Energy (Bulgaria)

In the present paper we continue the project of systematic construction of invariant differential operators on the example of the non-compact algebras su(n, n). Our choice of these algebras is motivated by the fact that for n = 2 this is the conformal algebra of 4-dimensional Minkowski space-time. Furthermore for general n these algebras belong to a narrow class of algebras, which we call 'conformal Lie algebras', which have very similar properties to the conformal algebras of n{sup 2}-dimensional Minkowski space-time. We give the main multiplets of indecomposable elementary representations for n = 2, 3, 4, including the necessary data for all relevant invariant differential operators.

• OSTI ID: 22212680
• Journal Information: Physics of Atomic Nuclei, Vol. 76, Issue 8; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
COMPACTS
LIE GROUPS
MINKOWSKI SPACE
MULTIPLETS
TWO-DIMENSIONAL CALCULATIONS