Part of the Springer Monographs in Mathematics book series (SMM)


To locate the theory of Lie groups within mathematics, one can say that Lie groups are groups with some additional structure that permits us to apply analytic techniques such as differentiation in a group theoretic context.


Maximal Compact Subgroup Abstract Group Theory Simple Finite Dimensional Module Continuous Finite Dimensional Representation 


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    Adams, J. F., “Lectures on Exceptional Lie Groups.” Edited by Z. Mahmud and M. Mimura, Chicago Lectures in Mathematics, 1996 Google Scholar
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    Goodman, R., and N. R. Wallach, “Symmetry, Representations, and Invariants,” Springer-Verlag, New York, 2009. Google Scholar
  3. [Kn02]
    Knapp, A. W., “Lie groups beyond an introduction”. Second edition. Progress in mathematics 140, Birkhäuser, Boston, 2002 Google Scholar
  4. [Wa88]
    Wallach, N. R., “Real reductive groups I”, Academic Press, Boston, 1988 Google Scholar

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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.Mathematics InstituteUniversity of PaderbornPaderbornGermany
  2. 2.Department of MathematicsFriedrich-Alexander Universität Erlangen-NürnbergErlangenGermany

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