Invariant differential operators for non-compact Lie groups: The main su ( n, n ) cases
Identifieur interne : 000073 ( Main/Exploration ); précédent : 000072; suivant : 000074Invariant differential operators for non-compact Lie groups: The main su ( n, n ) cases
Auteurs : V. K. Dobrev [Bulgarie]Source :
- Physics of Atomic Nuclei [ 1063-7788 ] ; 2013-08-01.
Abstract
Abstract: 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 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.
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DOI: 10.1134/S1063778813080073
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