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@article{1338089,
author = {Gregorovič, Jan and Zalabová, Lenka},
article_location = {Lemgo (Germany)},
article_number = {3},
keywords = {Parabolic geometries; homogeneous spaces; automorphisms with fixed points; harmonic curvature restrictions},
language = {eng},
issn = {0949-5932},
journal = {Journal of Lie Theory},
title = {On Automorphisms with Natural Tangent Actions on Homogeneous Parabolic Geometries},
volume = {25},
year = {2015}
}
TY - JOUR
ID - 1338089
AU - Gregorovič, Jan - Zalabová, Lenka
PY - 2015
TI - On Automorphisms with Natural Tangent Actions on Homogeneous Parabolic Geometries
JF - Journal of Lie Theory
VL - 25
IS - 3
SP - 677-715
EP - 677-715
PB - Heldermann Verlag
SN - 09495932
KW - Parabolic geometries
KW - homogeneous spaces
KW - automorphisms with fixed points
KW - harmonic curvature restrictions
N2 - We consider automorphisms of homogeneous parabolic geometries with a fixed point. Parabolic geometries carry the distinguished distributions and we study those automorphisms which enjoy natural actions on the distributions at the fixed points. We describe the sets of such automorphisms on homogeneous parabolic geometries in detail and classify whether there are non flat homogeneous parabolic geometries carrying such automorphisms. We present two general constructions of such geometries and we provide complete classifications for the types (G, P) of the parabolic geometries that have G simple and the automorphisms are of order 2.
ER -
GREGOROVIČ, Jan a Lenka ZALABOVÁ. On Automorphisms with Natural Tangent Actions on Homogeneous Parabolic Geometries. \textit{Journal of Lie Theory}. Lemgo (Germany): Heldermann Verlag, roč.~25, č.~3, s.~677-715. ISSN~0949-5932. 2015.
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