On faithful representations of Lie groups
Open accessAbstract
Let G and H be two connected Lie groups and Ai)(g2, hi) = 0?i(cp(Äi)g2), hxhi).Topologically GX4.IT is taken to be just the Cartesian product of G and H.It is then easily proved that under this topology GX4.IT is a Lie group.It is called the semidirect product of G and H under </>.The object of this note is to prove the following theorem.
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Samelson, H. (1952) · Bulletin of the American Mathematical Society · doi:10.1090/s0002-9904-1952-09544-6 · Cited by 219 · see citing works
- Authors
- Harish-Chandra
- Venue
- Proceedings of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Published
- 1950-04
- Volume
- 1
- Issue
- 2
- Pages
- 205-210
- ISSN
- 0002-9939 (ISSN-L)
- 1088-6826
- OpenAlex
- W4231655606
- Semantic Scholar
- dd8d56836a156885af0c88c47385c8eaabcca1c1
- Cited by
- 4
- References
- 0
- Citations by year
- 2015: 1
- FWCI
- 1.00
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Proceedings of the American Mathematical Society (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Advanced Algebra and Geometry
- Physical Sciences › Mathematics › Algebra and Number Theory › Advanced Topics in Algebra
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Keywords
- faithful representation, Lie groups, semidirect products, connected Lie groups, group homomorphisms
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