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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	N.A
Publication Date	26-07-2023
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	37.08 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. N.A. July 26, 2023. Accessed November 10, 2024. https://online.provdatabase.com/cite/6053

APA 7th EditionReferences

Spichak, Stanislav. (2023). Classification of Realizations of Lie Algebras of Vector Fields on a Circle. N.A. https://online.provdatabase.com/cite/6053

Chicago 17th EditionReferences

Spichak, Stanislav. Classification of Realizations of Lie Algebras of Vector Fields on a Circle. N.A. 2023. https://online.provdatabase.com/cite/6053

HarvardReferences

Spichak, Stanislav. (2023). Classification of Realizations of Lie Algebras of Vector Fields on a Circle. [Online]. N.A. Available from: https://online.provdatabase.com/cite/6053. (Accessed 10 November 2024).

Harvard AustraliaReferences

Spichak, Stanislav, 2023, Classification of Realizations of Lie Algebras of Vector Fields on a Circle, N.A, viewed 10 November 2024, <https://online.provdatabase.com/cite/6053>

MLA 9th EditionWorks Cited

Spichak, Stanislav. Classification of Realizations of Lie Algebras of Vector Fields on a Circle. N.A, 2023. PROV Database, https://online.provdatabase.com/cite/6053.

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