Diagonalization in compact Lie algebras and a new proof of a theorem of Kostant
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- by N. J. Wildberger PDF
- Proc. Amer. Math. Soc. 119 (1993), 649-655 Request permission
Abstract:
We exhibit a simple algorithmic procedure to show that any element of a compact Lie algebra is conjugate to an element of a fixed maximal abelian subalgebra. An estimate of the convergence of the algorithm is obtained. As an application, we provide a new proof of Kostant’s theorem on the projection of orbits onto a maximal abelian subalgebra.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 649-655
- MSC: Primary 22E60
- DOI: https://doi.org/10.1090/S0002-9939-1993-1151817-6
- MathSciNet review: 1151817