Rings of differential operators on singular generalized multi-cusp algebras

• Date: 2025
• Main Authors: Bavula, Volodymyr V., Hakami, Khalil
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: the ring of differential operators; the generalized multicusp algebra; the generalized Weyl algebra; the global dimension; the Krull dimension; the Gelfand-Kirillov dimension; simple module; the projective dimension; orbit; the projective resolution
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2350
• Journal Title: Algebra and Discrete Mathematics

The aim of the paper is to study the ring of differential operators \(\mathcal{D}(A(m))\) on the generalized multi-cusp algebra \(A(m)\) where \(m\in \mathbb{N}^n\) (of Krull dimension \(n\)). The algebra \(A(m)\) is singular apart from the single case when \(m=(1, \ldots , 1)\). In this case, the a...