Invariant Differential Operators for Non-compact Lie Groups: The Sp ( n , IR) Case
Identifieur interne : 000074 ( Main/Exploration ); précédent : 000073; suivant : 000075Invariant Differential Operators for Non-compact Lie Groups: The Sp ( n , IR) Case
Auteurs : V. K. Dobrev [Suisse, Bulgarie]Source :
- Springer Proceedings in Mathematics & Statistics [ 2194-1009 ] ; 2013.
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 sp(n, IR), in detail for n = 6. Our choice of these algebras is motivated by the fact that they belong to a narrow class of algebras, which we call “conformal Lie algebras”, which have very similar properties to the conformal algebras of Minkowski space-time. We give the main multiplets and the main reduced multiplets of indecomposable elementary representations for n = 6, including the necessary data for all relevant invariant differential operators. In fact, this gives by reduction also the cases for n < 6, since the main multiplet for fixed n coincides with one reduced case for n + 1.
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DOI: 10.1007/978-4-431-54270-4_22
Affiliations:
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