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/ * Lie algebras Representation theory {{Algebra-stub