Concept
Quaternion algebra
Related lectures (21)
Quaternion Algebra: Properties and Applications
Covers the properties and applications of quaternion algebra, including norm calculations and distribution in different spaces.
Conductor of X: Waldsparger Formula and Subconvexity Bound
Covers the equidistribution of representations of integers by ternary forms and the conductor of X.
Fourier Expansion and Quaternion Algebra
Discusses Fourier expansion, quaternion algebra, and Whittaker model in automorphic forms.
Fermat's Theorem: Sums of Squares
Explores Fermat's Theorem, factorization of integers, properties of Z[i], and Hurwitz quaternions.
Proof of Lagrange Theorem
Covers the proof of Lagrange Theorem and explores quaternions, prime numbers, and equations.
Quaternion Algebra and Hermite Space
Covers quaternion algebra, Waldspurger formula, and Hermite space in relation to L-functions and inner products.
Abelianization of Fundamental Group
Explores abelianization examples, homomorphisms, and isomorphisms in group theory.
Cyclotomic Extensions: Norms, Ideals, and Primes
Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.
Norms and Valuations on Fields
Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.
Group Homomorphisms
Explores group homomorphisms, constructing isomorphisms between groups using generators and relations.