Quaternion algebra

Related lectures (17)

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Covers the properties and applications of quaternion algebra, including norm calculations and distribution in different spaces.

Covers the equidistribution of representations of integers by ternary forms and the conductor of X.

Discusses Fourier expansion, quaternion algebra, and Whittaker model in automorphic forms.

Explores Fermat's Theorem, factorization of integers, properties of Z[i], and Hurwitz quaternions.

Explores quadratic spaces, norms, and quaternion algebra over fields.

Covers the proof of Lagrange Theorem and explores quaternions, prime numbers, and equations.

Covers quaternion algebra, Waldspurger formula, and Hermite space in relation to L-functions and inner products.

Explores abelianization examples, homomorphisms, and isomorphisms in group theory.

Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.

Covers 3D rotations, quaternions, and matrices of direction cosines, providing an elegant solution to the limitations of rotation matrices.