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On the differentiability of maps into Lie transformation groups

โœ Scribed by Martin Linden; Helmut Reckziegel

Publisher
Springer
Year
1989
Tongue
English
Weight
118 KB
Volume
63
Category
Article
ISSN
0025-2611

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๐Ÿ“œ SIMILAR VOLUMES

On Surjectivity of the Power Maps of Sol
On Surjectivity of the Power Maps of Solvable Lie Groups
โœ Pralay Chatterjee ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 158 KB

In this paper we study surjectivity of the map g โ†’ g n on an arbitrary connected solvable Lie group and describe certain necessary and sufficient conditions for surjectivity to hold. The results are applied also to study the exponential maps of the Lie groups. ๏ฃฉ 2002 Elsevier Science (USA)