Abstract
AbstractIn many ways, quaternion algebras are like “noncommutative quadratic field extensions”: this is apparent from their very definition, but also from their description as wannabe \(2\times 2\)-matrices. Just as the quadratic fields \(\mathbb Q (\sqrt{d})\) are wonderously rich, so too are their noncommutative analogues. In this part of the text, we explore these beginnings of noncommutative algebraic number theory.
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