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On a chain of reproducing kernel Cartan subalgebras

Anoh Yannick Kraidi

Anoh Yannick Kraidi

UFR Mathmatiques et Informatique, Universit Flix Houphouet-Boigny de Cocody-Abidjan
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Kraidi, Anoh Yannick
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Kinvi Kangni

Kinvi Kangni

UFR Mathmatiques et Informatique, Universit Flix Houphouet-Boigny de Cocody-Abidjan
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Kangni, Kinvi
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Nov 22, 2020
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Published Online: Nov 22, 2020
Page range: 43 - 49
Received: Mar 23, 2020
Accepted: Oct 30, 2020
DOI: https://doi.org/10.2478/mjpaa-2021-0005
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Ā© 2020 Anoh Yannick Kraidi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Let š¯”¤ be a semisimple Lie algebra, j a Cartan subalgebra of š¯”¤, j*, the dual of j, jv the bidual of j and B(., .) the restriction to j of the Killing form of š¯”¤. In this work, we will construct a chain of reproducing kernel Cartan subalgebras ordered by inclusion.

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English
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Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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