Principal Gelfand pairs
表示论
2007-05-23 v2 辛几何
摘要
Let X=G/K be a connected Riemannian homogeneous space of a real Lie group G. The homogeneous space X is called commutative if the algebra of G-invariant differential operators on X is commutative. We prove an effective commutativity criterion and classify commutative spaces under two mild technical constraints. In particular, we obtain several new examples of commutative homogeneous spaces that are not of Heisenberg type.
引用
@article{arxiv.math/0403419,
title = {Principal Gelfand pairs},
author = {Oksana Yakimova},
journal= {arXiv preprint arXiv:math/0403419},
year = {2007}
}
备注
31 pages, Latex2e, XY-pic used