Email this article Automatic continuity of a locally bounded homomorphism of Lie groups on the commutator subgroup
- Authors: Shtern A.I.1,2,3
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Affiliations:
- Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
- Moscow Center for Fundamental and Applied Mathematics
- Scientific Research Institute for System Studies of RAS
- Issue: Vol 215, No 6 (2024)
- Pages: 151-158
- Section: Articles
- URL: https://journal-vniispk.ru/0368-8666/article/view/256520
- DOI: https://doi.org/10.4213/sm9984
- ID: 256520
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Abstract
Пусть $G$ и $H$ – группы Ли, $\pi\colon G\to H$ – локально ограниченный гомоморфизм, $G'$ – коммутант группы $G$. Тогда ограничение $\pi|_{G'}$ гомоморфизма $\pi$ на $G'$ непрерывно.Библиография: 8 названий.
About the authors
Alexander Isaakovich Shtern
Lomonosov Moscow State University, Faculty of Mechanics and Mathematics; Moscow Center for Fundamental and Applied Mathematics; Scientific Research Institute for System Studies of RAS
Email: rroww@mail.ru
Candidate of physico-mathematical sciences, Associate professor
References
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- А. И. Штерн, “Конечномерные квазипредставления связных групп Ли и гипотеза Мищенко”, Фундамент. и прикл. матем., 13:7 (2007), 85–225
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- A. I. Shtern, “The discontinuity group of a locally bounded homomorphism of a connected Lie group into a connected Lie group is commutative”, Russ. J. Math. Phys., 30:3 (2023), 397–398
- М. А. Наймарк, Теория представлений групп, Наука, М., 1976, 560 с.
- I. Namioka, “Separate continuity and joint continuity”, Pacific J. Math., 51:2 (1974), 515–531
- V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Prentice-Hall Ser. Modern Anal., Prentice-Hall, Inc., Englewood Cliffs, NJ, 1974, xiii+430 pp.
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