Email this article DECOMPOSITION OF CANONICAL REPRESENTATIONS ON THE LOBACHEVSKY PLANE ASSOCIATED WITH LINEAR BUNDLES
- Authors: Grosheva L.I.1
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Affiliations:
- Tambov State University named after G. R. Derzhavin
- Issue: Vol 23, No 122 (2018)
- Pages: 113-124
- Section: Articles
- URL: https://journals.rcsi.science/2686-9667/article/view/297213
- DOI: https://doi.org/10.20310/1810-0198-2018-23-122-113-124
- ID: 297213
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Abstract
We decompose canonical representations on the Lobachevsky plane, associated with sections of linear bundles.
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In our work [1] we described canonical and boundary representations of the group G = SU (1, 1) on the Lobachevsky plane D in sections of linear bundles on D.×
About the authors
Larisa Igorevna Grosheva
Tambov State University named after G. R. Derzhavin
Email: gligli@mail.ru
Associate Professor of Physics and Mathematics 33 Internatsionalnaya St., Tambov 392000, Russian Federation
References
- Grosheva L.I. Canonical and boundary representations on the Lobachevsky plane associated with linear bundles // Вестник Тамбовского университета. Серия Естественные и технические науки. Тамбов, 2017. Т. 22. Вып. 6. С. 1218-1228. doi: 10.20310/1810-0198-2017-22-6-1218-1228.
- Molchanov V.F., Grosheva L.I. Canonical and boundary representations on the Lobachevsky plane // Acta Appl. Math. 2002. Vol. 73. P. 59-77.
- Грошева Л.И. Канонические представления в сечениях линейных расслоений на плоскости Лобачевского // Вестник Тамбовского университета. Серия Естественные и технические науки. Тамбов, 2007. Т. 12. Вып. 4. С. 436-438.
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