Examples of Groups: Lie Groups and Algebraic Groups
We now turn to the consideration of groups whose elements are given by continuously varying parameters; in other words, these are groups, occuring frequently in connection with questions of geometry or physics, whose set of elements itself has a geometry. This geometry may sometimes be very simple, but at other times far from trivial.
KeywordsAlgebraic Group Quotient Group Compact Subgroup Orthogonal Transformation Maximal Compact Subgroup
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