On Smith normal forms of \(q\)-Varchenko matrices

In this paper, we investigate \(q\)-Varchenko matrices for some hyperplane arrangements with symmetry in two and three dimensions, and prove that they have a Smith normal form over \(\mathbb Z[q]\).  In particular, we examine the hyperplane arrangement for the regular \(n\)-gon in the plane and the...

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Bibliographic Details
Date:2023
Main Authors: Boulware, N., Jing, N., Misra, K. C.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2023
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2006
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics