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Quaternion Algebras

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This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results f...

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Bibliographic Details
Main Author: Voight, John (auth)
Format: Electronic Book Chapter
Language:English
Published: Springer Nature 2021
Series:Graduate Texts in Mathematics 288
Subjects:
Algebra
Groups & group theory
Number theory
Associative Rings and Algebras
Group Theory and Generalizations
Number Theory
Open Access
Quaternions
Quaternion algebras
Quaternion orders
Quaternion ideals
Noncommutative algebra
Quaternions and quadratic forms
Ternary quadratic forms
Simple algebras and involutions
Lattices and integral quadratic forms
Hurwitz order
Quaternion algebras over local fields
Quaternion algebras over global fields
Adelic framework
Idelic zeta functions
Quaternions hyperbolic geometry
Quaternions arithmetic groups
Quaternions arithmetic geometry
Supersingular elliptic curves
Abelian surfaces with QM
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