A Kac–Moody algebra associated to the non-compact manifold SL(2, ℝ)
We construct explicitly a Kac–Moody algebra associated to SL[Formula: see text] in two different but equivalent ways: either by identifying a Hilbert basis of [Formula: see text] or by the Plancherel Theorem. Central extensions and Hermitian differential operators are identified.
Authors
- Michel Rausch de Traubenberg (ORCID: https://orcid.org/0000-0001-5045-2353)
- Rutwig Campoamor-Stursberg (ORCID: https://orcid.org/0000-0003-2907-8533)
- Alessio Marrani (ORCID: https://orcid.org/0000-0002-7597-1050)
Institutions
- Centre National de la Recherche Scientifique (FR)
- University of Hertfordshire (GB)
- Torino e-district (IT)
- Instituto de Hortofruticultura Subtropical y Mediterránea "La Mayora" (ES)
- University of Turin (IT)
- Université de Strasbourg (FR)
Publication Details
- Journal
- International Journal of Geometric Methods in Modern Physics
- Published
- 2025-06-12
- DOI
- https://doi.org/10.1142/s021988782540050x
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00