<abstract xmlns="http://www.w3.org/1999/xhtml">Let 𝔤 be a semisimple Lie algebra, j a Cartan subalgebra of 𝔤, j*, the dual of j, jv the bidual of j and <italic>B</italic>(., .) the restriction to j of the Killing form of 𝔤. In this work, we will construct a chain of reproducing kernel Cartan subalgebras ordered by inclusion.</abstract>

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

On a chain of reproducing kernel Cartan subalgebras

Universit Flix Houphouet-Boigny de Cocody-Abidjan

Moroccan Journal of Pure and Applied Analysis

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On a chain of reproducing kernel Cartan subalgebras"}

Let 𝔤 be a semisimple Lie algebra, j a Cartan subalgebra of 𝔤, j*, the dual of j, jv the bidual of j and B(., .) the restriction to j of the Killing form of...

On a chain of reproducing kernel Cartan subalgebras

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

Keywords
Cartan subalgebra, Root systems, Reproducing kernel

© 2020 Anoh Yannick Kraidi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On a chain of reproducing kernel Cartan subalgebras

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

KeywordsCartan subalgebra, Root systems, Reproducing kernel

© 2020 Anoh Yannick Kraidi et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Cartan subalgebra, Root systems, Reproducing kernel