Linear Projective Groups

Related lectures (30)

Page 2 of 3

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

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

Introduces the regular representation, a key tool for studying group actions on varieties.

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

Covers the concept of connected components in linear algebraic groups and their relationship to singular groups.

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

Explores the special linear group, matrix properties, and determinant theorems.

Explores the concept of diagonalizable groups and their properties in linear algebraic groups.

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

Covers linear applications, matrices, transformations, and the principle of superposition.