On a chain of reproducing kernel Cartan subalgebras

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.

Keywords

• cartan subalgebra
• root systems
• reproducing kernel
• 17b20
• 46e22
• 17b22