Integral geometry for \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathcal {D}}$\end{document}‐modules on dual flag manifolds and generalized Verma modules |
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Authors: | Corrado Marastoni |
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Institution: | Università di Padova, Dipartimento di Matematica, via Trieste 63, I‐35121 Padova, Italy. Phone: +39 049 8271403, Fax: +39 049 8271479 |
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Abstract: | Given a pair of dual generalized flag manifolds of a semisimple algebraic group, we show that the integral transform between them given by the open orbit in their product is an equivalence. We also describe the links of this problem with the structure of generalized Verma modules, and how the above construction can be applied to the representation theory of real forms of the group. |
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Keywords: | \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {D}$\end{document}‐modules integral transforms MSC (2010) 35A22 43A85 |
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