Olivier Mathieu (2000)
Annales de l'institut Fourier
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Let be a reductive Lie algebra and let be a Cartan subalgebra. A -module is called a if and only if , where each weight space is finite dimensional. The main result of the paper is the classification of all simple weight -modules. Further, we show that their characters can be deduced from characters of simple modules in category .
Peter Franek (2006)
Archivum Mathematicum
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In this paper we study invariant differential operators on manifolds with a given parabolic structure. The model for the parabolic geometry is the quotient of the orthogonal group by a maximal parabolic subgroup corresponding to crossing of the -th simple root of the Dynkin diagram. In particular, invariant differential operators discussed in the paper correspond (in a flat model) to the Dirac operator in several variables.
Molev, A. I.
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Futorny, Vyacheslav, Kashuba, Iryna (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Sawon, J. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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