On a chain of reproducing kernel Cartan subalgebras

Kraidi, Anoh Yannick; Kangni, Kinvi

doi:10.2478/mjpaa-2021-0005

Abstract

Let 𝔤 be a semisimple Lie algebra, j a Cartan subalgebra of 𝔤, j^*, the dual of j, j^v 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.

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On a chain of reproducing kernel Cartan subalgebras

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