<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

Online veröffentlicht: 22. Nov. 2020

Seitenbereich: 43 - 49

Eingereicht: 23. März 2020

Akzeptiert: 30. Okt. 2020

DOI: https://doi.org/10.2478/mjpaa-2021-0005

Schlüsselwörter
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

Online veröffentlicht: 22. Nov. 2020

Seitenbereich: 43 - 49

Eingereicht: 23. März 2020

Akzeptiert: 30. Okt. 2020

DOI: https://doi.org/10.2478/mjpaa-2021-0005

SchlüsselwörterCartan 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.

Schlüsselwörter
Cartan subalgebra, Root systems, Reproducing kernel