Invariant Differential Operators for Non-Compact Lie Groups: Parabolic Subalgebras

Details Invariant Differential Operators for Non-Compact Lie Groups: Parabolic Subalgebras Invariant Differential Operators for Non-Compact Lie Groups: Parabolic Subalgebras

2007-02-19

arxiv.org/abs/hep-th/0702152v7

Rev.Math.Phys.20:407-449,2008

Physics

High Energy Physics

High Energy Physics - Theory

44 pages; V2: important addition in Section 3 and misprints corrected; more corrections in Section 3; v3-v6: various correctio

Scientific paper

10.1142/S0129055X08003341

In the present paper we start the systematic explicit construction of invariant differential operators by giving explicit description of one of the main ingredients - the cuspidal parabolic subalgebras. We explicate also the maximal parabolic subalgebras, since these are also important even when they are not cuspidal. Our approach is easily generalised to the supersymmetric and quantum group settings and is necessary for applications to string theory and integrable models.

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