Erlangen Program at Large—2: Inventing a Wheel. the Parabolic One
نویسنده
چکیده
We discuss parabolic versions of Euler’s identitye = cos t + i sin t.A purely algebraic approach based on dual numbers is known to produce a verytrivial relation e = 1 + εt. Therefore we use a geometric setup of parabolicrotations to recover the corresponding non-trivial algebraic framework. Our maintool is Möbius transformations which turn out to be closely related to inducedrepresentations of the group SL2(R). CONTENTS
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تاریخ انتشار 2008