Multiplet classification for SU(n,n)

In the present paper we review our project of systematic construction of invariant differential operators on the example of the non-compact algebras su(n,n) for n 2, 3,4. We give explicitly the main multiplets of indecomposable elementary representations and some reduced multiplets. We give explicit...

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Bibliographic Details
Published in:Journal of physics. Conference series 2014-11, Vol.563 (1), p.12008-21
Main Author: Dobrev, V K
Format: Article
Language:English
Subjects:
Algebra
Classification
Construction
Differential equations
Invariants
Operators
Operators (mathematics)
Physics
Representations
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Summary:In the present paper we review our project of systematic construction of invariant differential operators on the example of the non-compact algebras su(n,n) for n 2, 3,4. We give explicitly the main multiplets of indecomposable elementary representations and some reduced multiplets. We give explicitly the minimal representations. Due to the recently established parabolic relations the multiplet classification results are valid also for the algebras sl(2n, R) and when n 2k for the algebras su* (4k) with suitably chosen maximal parabolic subalgebras.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/563/1/012008