Journal of Generalized Lie Theory and Applications

Lie Group Methods for Eigenvalue Function

HA Nazarkandi

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By considering a C∞ structure on the ordered non-increasing of elements of Rn, we show that it is a differentiable manifold. By using of Lie groups, we show that eigenvalue function is a submersion. This fact is used to prove some results. These results is applied to prove a few facts about spectral manifolds and spectral functions. Orthogonal matrices act on the real symmetric matrices as a Lie transformation group. This fact, also, is used to prove the results.

Article information

J. Gen. Lie Theory Appl., Volume 10, Number 1 (2016), 4 pages.

First available in Project Euclid: 3 February 2017

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Zentralblatt MATH identifier

Lie group Spectral manifold Submersion Eigenvalue function Spectral function


Nazarkandi, HA. Lie Group Methods for Eigenvalue Function. J. Gen. Lie Theory Appl. 10 (2016), no. 1, 4 pages. doi:10.4172/10.4172/1736-4337.1000240.

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