Algebraic Subgroups of Lie Groups

  title={Algebraic Subgroups of Lie Groups},
  author={Dong Hoon Lee},
In this work, we introduce the notion of algebraic subgroups of complex Lie groups, and prove that every faithfully representable complex analytic group G admits an algebraic subgroup T (G) which is the largest in the sense that it contains all algebraic subgroups of G . Moreover, the rational representations of the algebraic subgroup T (G) are exactly the restrictions to T (G) of all complex analytic representations of G . This enables us to single out a certain subgroup of a faithfully… CONTINUE READING
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Publications referenced by this paper.
Showing 1-4 of 4 references

Theory of Lie groups,

  • C. Chevalley
  • 1946
Highly Influential
5 Excerpts

On observable subgroups of complex analytic groups

  • Lee, H D., Ta-Sun Wu
  • J. of Algebra
  • 1995

The structure of Lie groups," Holden-Day, San Francisko

  • G. Hochschild
  • 1965
2 Excerpts

Representations and representative functions of Lie groups

  • G. Hochschild, G. D. Mostow
  • Ann. of Math
  • 1957
2 Excerpts

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