Classification of reductive real spherical pairs I. The simple case
Abstract
This paper gives a classification of all pairs $(\mathfrak g, \mathfrak h)$ with $\mathfrak g$ a simple real Lie algebra and $\mathfrak h < \mathfrak g$ a reductive subalgebra for which there exists a minimal parabolic subalgebra $\mathfrak p < \mathfrak g$ such that $\mathfrak g = \mathfrak h + \mathfrak p$ as vector sum.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2016
- DOI:
- 10.48550/arXiv.1609.00963
- arXiv:
- arXiv:1609.00963
- Bibcode:
- 2016arXiv160900963K
- Keywords:
-
- Mathematics - Representation Theory;
- 14L30;
- 14M17;
- 14M27;
- 22F30
- E-Print:
- 44 pages, 8 tables. Minor corrections in Table 8. Published version