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An Introduction to Lie Groups and the Geometry of Homogeneous Spaces
Language: en
Pages: 162
Authors: Andreas ArvanitogeĊrgos
Categories: Homogeneous spaces
Type: BOOK - Published: 2003 - Publisher: American Mathematical Soc.

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It is remarkable that so much about Lie groups could be packed into this small book. But after reading it, students will be well-prepared to continue with more
Structure and Geometry of Lie Groups
Language: en
Pages: 742
Authors: Joachim Hilgert
Categories: Mathematics
Type: BOOK - Published: 2011-11-06 - Publisher: Springer Science & Business Media

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This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix gr
An Introduction to Lie Groups and Lie Algebras
Language: en
Pages: 237
Authors: Alexander A. Kirillov
Categories: Mathematics
Type: BOOK - Published: 2008-07-31 - Publisher: Cambridge University Press

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This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.
Lie Groups and Lie Algebras
Language: en
Pages: 442
Authors: B.P. Komrakov
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This collection contains papers conceptually related to the classical ideas of Sophus Lie (i.e., to Lie groups and Lie algebras). Obviously, it is impos sible t
Differential Geometry and Lie Groups
Language: en
Pages: 777
Authors: Jean Gallier
Categories: Mathematics
Type: BOOK - Published: 2020-08-14 - Publisher: Springer Nature

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This textbook offers an introduction to differential geometry designed for readers interested in modern geometry processing. Working from basic undergraduate pr