Quaternion Algebra and Hermite Space

Related lectures (31)

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

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

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

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

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

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

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

Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.

Covers the definition of generators of the conformal group and the application of Wick's theorem.

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