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September 30, 2025Open Access

On Isotropy Groups of Quantum Plane

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Isotropy groups can be trivial, finite, or infinite based on the derivation structure and properties of q.
The structure of finite isotropy groups is extensively described, aiding in understanding automorphisms of the Quantum Plane.
Polynomial equations like μ_1^a μ_2^b = 1 are crucial for analyzing derivations in quantum algebra.
Techniques from algebraic geometry contribute to the classification and understanding of these isotropy groups.

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This paper identifies conditions for isotropy groups in the Quantum Plane, revealing implications for finite automorphisms.

Santana et al. (2025) studied this question.

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