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Lie algebras graded by the weight system...

Baranov, Alexander...

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Lie algebras graded by the weight system $(\Theta_{n},sl_{n})$ by Baranov, Alexander ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	10-08-2023
Summary	A Lie algebra $L$ is said to be $(\Theta_{n},sl_{n})$-graded if it contains a simple subalgebra $\mathfrak{g}$ isomorphic to $sl_{n}$ such that the $\mathfrak{g}$-module $L$ decomposes into copies of the adjoint module, the trivial module, the natural module $V$, its symmetric and exterior squares $S^{2}V$ and $\wedge^{2}V$ and their duals. We describe the multiplicative structures and the coordinate algebras of $(\Theta_{n},sl_{n})$-graded Lie algebras for $n\ge5$, classify these Lie algebras and determine their central extensions.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1709.03023

Citation

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AMA 11th EditionReferences

Baranov, Alexander. Lie algebras graded by the weight system $(\Theta_{n},sl_{n})$. Australian National University. August 10, 2023. Accessed October 01, 2025. https://online.provdatabase.com/cite/15248

APA 7th EditionReferences

Baranov, Alexander. (2023). Lie algebras graded by the weight system $(\Theta_{n},sl_{n})$. Australian National University. https://online.provdatabase.com/cite/15248

Chicago 17th EditionReferences

Baranov, Alexander. Lie algebras graded by the weight system $(\Theta_{n},sl_{n})$. Australian National University. 2023. https://online.provdatabase.com/cite/15248

HarvardReferences

Baranov, Alexander. (2023). Lie algebras graded by the weight system $(\Theta_{n},sl_{n})$. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/15248. (Accessed 01 October 2025).

Harvard AustraliaReferences

Baranov, Alexander, 2023, Lie algebras graded by the weight system $(\Theta_{n},sl_{n})$, Australian National University, viewed 01 October 2025, <https://online.provdatabase.com/cite/15248>

MLA 9th EditionWorks Cited

Baranov, Alexander. Lie algebras graded by the weight system $(\Theta_{n},sl_{n})$. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/15248.

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