F-method for constructing equivariant differential operators
Representation Theory
2013-12-17 v2 Differential Geometry
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.
Cite
@article{arxiv.1212.6862,
title = {F-method for constructing equivariant differential operators},
author = {Toshiyuki Kobayashi},
journal= {arXiv preprint arXiv:1212.6862},
year = {2013}
}
Comments
8 pages (final version, Contemp Math. AMS)