Principal subalgebra: Difference between revisions
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*{{Citation | last1=Bourbaki | first1=Nicolas | author1-link=Nicolas Bourbaki | title=Lie groups and Lie algebras. Chapters |
*{{Citation | last1=Bourbaki | first1=Nicolas | author1-link=Nicolas Bourbaki | title=Lie groups and Lie algebras. Chapters 7–9 | orig-year=1975 | url=https://link.springer.com/book/9783540688518 | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Elements of Mathematics (Berlin) | isbn=978-3-540-68851-8 | mr=2109105 | year=2005}} |
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[[Category:Lie algebras]] |
[[Category:Lie algebras]] |
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Revision as of 00:39, 29 April 2024
In mathematics, a principal subalgebra of a complex simple Lie algebra is a 3-dimensional simple subalgebra whose non-zero elements are regular.
A finite-dimensional complex simple Lie algebra has a unique conjugacy class of principal subalgebras, each of which is the span of an sl2-triple.
References
- https://aiolatest.com/application-of-abstract-algebra-in-real-life/
- Bourbaki, Nicolas (2005) [1975], Lie groups and Lie algebras. Chapters 7–9, Elements of Mathematics (Berlin), Berlin, New York: Springer-Verlag, ISBN 978-3-540-68851-8, MR 2109105
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