In this paper, we attempt to indicate the links between representations over a Lie algebra and line bundles over a scheme. Our hypothesis is that we can make a correspondence between representations of a solvable Lie algebra and line bundles. Finally, we study the decomposition of these bundles by using the representation theory over solvable Lie algebras.
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Kheiri, H., Rahmati, F. & Etemad, A. A Classification of Line Bundles over a Scheme. Iran J Sci Technol Trans Sci 44, 259–263 (2020). https://doi.org/10.1007/s40995-020-00826-2
- Line bundle
- Representation theory
- Solvable Lie algebra
Mathematics Subject Classification
- Primary 14H60
- Secondary 17B10