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- Title
INVARIANT DIFFERENTIAL OPERATORS FOR NON-COMPACT LIE GROUPS:: PARABOLIC SUBALGEBRAS.
- Authors
DOBREV, V. K.
- Abstract
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 generalized to the supersymmetric and quantum group settings and is necessary for applications to string theory and integrable models.
- Subjects
MATHEMATICAL physics; DIFFERENTIAL operators; DIFFERENTIAL equations; STRING models (Physics); PHYSICS
- Publication
Reviews in Mathematical Physics, 2008, Vol 20, Issue 4, p407
- ISSN
0129-055X
- Publication type
Article
- DOI
10.1142/S0129055X08003341