Special Reduced Multiplets and Minimal Representations for SO(p,q)

Abstract

Using our previous results on the systematic construction of invariant differential operators for non-compact semisimple Lie groups we classify the special reduced multiplets and minimal representations in the case of SO(p,q).

arXiv comment26 pages, 11 figures, to appear in the Proceedings of the X International Workshop "Lie Theory and Its Applications in Physics}, (Varna, Bulgaria, June 2013), "Springer Proceedings in Mathematics and Statistics", Vol. 111

References in corpus (4)

• Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras
• Exceptional Lie Algebra $E_{7(-25)}$ (Multiplets and Invariant Differential Operators)
• Magic Coset Decompositions
• Invariant Differential Operators for Non-Compact Lie Groups: the Sp(n,R) Case

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