Arithmetic of Hermitian forms.
Shimura, Goro (2008)
Documenta Mathematica
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Displaying similar documents to “Applications of spinor class fields: embeddings of orders and quaternionic lattices”
Arithmetic of Hermitian forms.
Representation fields for commutative orders
Luis Arenas-Carmona (2012)
Annales de l’institut Fourier
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A representation field for a non-maximal order in a central simple algebra is a subfield of the spinor class field of maximal orders which determines the set of spinor genera of maximal orders containing a copy of . Not every non-maximal order has a representation field. In this work we prove that every commutative order has a representation field and give a formula for it. The main result is proved for central simple algebras over arbitrary global fields.
Integer-valued quadratic forms and quadratic Diophantine equations.
Shimura, Goro (2006)
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