Linear Projective Groups

Related lectures (30)

Page 3 of 3

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

Explores the properties of invertible matrices, including unique solutions and linear independence.

Covers the properties of commutative linear algebraic groups and their elements.

Explores theoretical and practical aspects of fast matrix-matrix multiplication algorithms and their significance in computer science.

Explores the unique determination of homomorphisms by differentials and the intersection of closed subgroups' Lie algebras.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Explores linear transformations, matrices, kernels, and images in algebra.

Covers matrix transposition, rank, and basis change in linear algebra, exploring invertibility criteria and basis relationships.

Explores subrepresentations of the regular representation in group theory, emphasizing properties and isomorphism between subrepresentations.

Explores constructing quotients of linear algebraic groups by linearly reductive sub-groups.