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arXiv · 1212.6862

F-method for constructing equivariant differential operators

Toshiyuki Kobayashi
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Abstract

Using an algebraic Fourier transform of operators, we develop a method (F-method) to obtain explicit highest weight vectors in the branching laws by differential equations. This article gives a brief explanation of the F-method and its applications to a concrete construction of some natural equivariant operators that arise in parabolic geometry and in automorphic forms.

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Toshiyuki Kobayashi. 2013-05-15. F-method for constructing equivariant differential operators. https://doi.org/10.1090/conm%2F598%2F11998

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