Abstract
In the rest of the chapter we work out some easily accessible properties of the generalized rotation groups: their maximal tori, centers, and their path-connectedness. These properties later turn out to be crucial for the problem of identifying simple Lie groups.
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© 2008 Springer Science+Business Media, LLC
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Stillwell, J. (2008). Generalized rotation groups. In: Naive Lie Theory. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-78214-0_3
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DOI: https://doi.org/10.1007/978-0-387-78214-0_3
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Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-78214-0
Online ISBN: 978-0-387-78215-7
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