Cartan decomposition of the moment map
Publication type: Journal Article
Publication date: 2006-08-01
scimago Q1
wos Q1
SJR: 2.292
CiteScore: 2.8
Impact factor: 1.4
ISSN: 00255831, 14321807
General Mathematics
Abstract
We investigate a class of actions of real Lie groups on complex spaces. Using moment map techniques we establish the existence of a quotient and a version of Luna’s slice theorem as well as a version of the Hilbert–Mumford criterion. A global slice theorem is proved for proper actions. We give new proofs of results of Mostow on decompositions of groups and homogeneous spaces.
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32
Total citations:
32
Citations from 2024:
3
(9.38%)
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GOST
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Heinzner P., Schwarz G. W. Cartan decomposition of the moment map // Mathematische Annalen. 2006. Vol. 337. No. 1. pp. 197-232.
GOST all authors (up to 50)
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Heinzner P., Schwarz G. W. Cartan decomposition of the moment map // Mathematische Annalen. 2006. Vol. 337. No. 1. pp. 197-232.
Cite this
RIS
Copy
TY - JOUR
DO - 10.1007/s00208-006-0032-8
UR - https://doi.org/10.1007/s00208-006-0032-8
TI - Cartan decomposition of the moment map
T2 - Mathematische Annalen
AU - Heinzner, Peter
AU - Schwarz, Gerald W.
PY - 2006
DA - 2006/08/01
PB - Springer Nature
SP - 197-232
IS - 1
VL - 337
SN - 0025-5831
SN - 1432-1807
ER -
Cite this
BibTex (up to 50 authors)
Copy
@article{2006_Heinzner,
author = {Peter Heinzner and Gerald W. Schwarz},
title = {Cartan decomposition of the moment map},
journal = {Mathematische Annalen},
year = {2006},
volume = {337},
publisher = {Springer Nature},
month = {aug},
url = {https://doi.org/10.1007/s00208-006-0032-8},
number = {1},
pages = {197--232},
doi = {10.1007/s00208-006-0032-8}
}
Cite this
MLA
Copy
Heinzner, Peter, and Gerald W. Schwarz. “Cartan decomposition of the moment map.” Mathematische Annalen, vol. 337, no. 1, Aug. 2006, pp. 197-232. https://doi.org/10.1007/s00208-006-0032-8.