Quaternion Algebras
Publication year: 2021
ISBN: 978-3-030-56694-4
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This 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 from across the literature. Numerous pathways offer explorations in many different directions, while the unified treatment makes this book an essential reference for students and researchers alike.
Subject: Mathematics and Statistics, Associative Rings and Algebras, Group Theory and Generalizations Number Theory, 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
