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On a chain of reproducing kernel Cartan subalgebras
- Source :
- Moroccan Journal of Pure and Applied Analysis, Vol 7, Iss 1, Pp 43-49 (2021)
- Publication Year :
- 2021
- Publisher :
- Sciendo, 2021.
-
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.
- Subjects :
- cartan subalgebra
root systems
reproducing kernel
17b20
46e22
17b22
Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 23518227
- Volume :
- 7
- Issue :
- 1
- Database :
- Directory of Open Access Journals
- Journal :
- Moroccan Journal of Pure and Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.f13e31d8bfab4b8eb74be85f4d743f07
- Document Type :
- article
- Full Text :
- https://doi.org/10.2478/mjpaa-2021-0005