Differential of a Morphism

Related lectures (29)

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Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.

Explores polynomial operations, properties, and subspaces in vector spaces.

Explores the differential of group actions on vector spaces and the behavior of orbit maps.

Explores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers matrix equations as linear combinations, vector spaces, and geometric interpretations.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Introduces linear algebra concepts, focusing on solving systems of linear equations and their representations.

Covers various examples and general concepts related to linear applications in algebra.

Explores Riemannian connections on manifolds, emphasizing smoothness and compatibility with the metric.