Decomposition of matrices from \(\text{SL}_{2}(\mathbb{K}[x, y])\)

Let \(\mathbb{K}\) be an algebraically closed field of characteristic zero and \(\mathbb{K}[x, y]\) the polynomial ring. The group \(\text{SL}_{2}(\mathbb{K}[x, y])\) of all matrices with determinant equal to \(1\) over \(\mathbb{K}[x, y]\) can not be generated by elementary matrices. The known coun...

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Bibliographic Details
Date:2025
Main Authors: Chapovskyi, Yevhenii, Kozachok, Oleksandra, Petravchuk, Anatoliy
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2025
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2362
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics