Abstract
In this chapter for the first time we begin to deal with the C ∞ or (real) analytic structure of G, rather than with just measure theory. We shall see how a representation of G gives rise to an algebraic representation of the Lie algebra on a dense subspace, for an arbitrary Lie group G. In the case of SL 2(R), this representation has an especially simple form, as shown in §2.
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© 1985 Springer-Verlag New York Inc.
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Lang, S. (1985). The Derived Representation on the Lie Algebra. In: SL 2(R). Graduate Texts in Mathematics, vol 105. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5142-2_6
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DOI: https://doi.org/10.1007/978-1-4612-5142-2_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9581-5
Online ISBN: 978-1-4612-5142-2
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