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Ideal classes of orders in quaternion algebras
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math.NTmath.RA
keywords
algebrasclassesquaternionrightalgebraalgorithmcomputesdeveloped
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abstract
We provide an algorithm that, given any order $O$ in a quaternion algebra over a global field, computes representatives of all right equivalence classes of right $O$-ideals, including the non-invertible ones. The theory is developed for a more general kind of algebras.
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