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Classification of Realizations of Lie Al...

Spichak, Stanislav...

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Classification of Realizations of Lie Algebras of Vector Fields on a Circle by Spichak, Stanislav ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	22-08-2023
Summary	Finite-dimensional subalgebras of a Lie algebra of smooth vector fields on a circle, as well as piecewise-smooth global transformations of a circle on itself, are considered. A canonical forms of realizations of two- and three-dimensional noncommutative algebras are obtained. It is shown that all other realizations of smooth vector fields are reduced to this form using global transformations. Some combinatorial formulas for the number of inequivalent realizations of these algebras are obtained.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1304.2241

Citation

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AMA 11th EditionReferences

Spichak, Stanislav. Classification of Realizations of Lie Algebras of Vector Fields on a Circle. Australian National University. August 22, 2023. Accessed September 17, 2024. https://online.provdatabase.com/cite/20699

APA 7th EditionReferences

Spichak, Stanislav. (2023). Classification of Realizations of Lie Algebras of Vector Fields on a Circle. Australian National University. https://online.provdatabase.com/cite/20699

Chicago 17th EditionReferences

Spichak, Stanislav. Classification of Realizations of Lie Algebras of Vector Fields on a Circle. Australian National University. 2023. https://online.provdatabase.com/cite/20699

HarvardReferences

Spichak, Stanislav. (2023). Classification of Realizations of Lie Algebras of Vector Fields on a Circle. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/20699. (Accessed 17 September 2024).

Harvard AustraliaReferences

Spichak, Stanislav, 2023, Classification of Realizations of Lie Algebras of Vector Fields on a Circle, Australian National University, viewed 17 September 2024, <https://online.provdatabase.com/cite/20699>

MLA 9th EditionWorks Cited

Spichak, Stanislav. Classification of Realizations of Lie Algebras of Vector Fields on a Circle. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/20699.

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