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An Alternative Approach to Lie Groups and Geometric Structures$
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Ercüment H. Ortaçgil

Print publication date: 2018

Print ISBN-13: 9780198821656

Published to Oxford Scholarship Online: September 2018

DOI: 10.1093/oso/9780198821656.001.0001

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The Symmetry Group

The Symmetry Group

Chapter:
(p.125) 15 The Symmetry Group
Source:
An Alternative Approach to Lie Groups and Geometric Structures
Author(s):

Ercüment H. Ortaçgil

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198821656.003.0016

This chapter, which ends Part II on some consequences of the new approach, introduces an alternative prolongation theory of Klein geometries that is more geometric and intuitive than the well-known prolongation theory of a linear Lie algebra developed by Guillemin, Singer, and Sternberg.

Keywords:   prolongation, normalizer

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