Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Quizes
Exercises
Publications
Startups
Units
Show all results for
Home
Lecture
Linear Lie Groups: Definitions and Theorems
Graph Chatbot
Related lectures (58)
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Lie Algebra: Group Theory
Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.
Pushouts in Group Theory: Universal Properties Explained
Covers the construction and universal properties of pushouts in group theory.
Symmetries and Groups in Quantum Mechanics
Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.
Differential Forms on Manifolds
Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.
Retractions vector fields and tangent bundles: Tangent bundles
MOOC: Introduction to optimization on smooth manifolds: first order methods
Covers retractions, tangent bundles, and embedded submanifolds on manifolds with proofs and examples.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Lie Groups: Representations and Transformations
Explores Lie groups, scalar fields, and vector spaces transformations.
Riemannian connections: What they are and why we care
Covers Riemannian connections, emphasizing their properties and significance in geometry.
Elements of Lie Groups and Algebras
Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.
Rigidity in Negative Curvature
Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.
Topology: Free Groups and Their Properties
Discusses the theory of free groups, their properties, and relationships with other algebraic structures.
Relative Positions in Space
Covers the precise description of the relative positioning of objects in space.
Lie Algebra: Vector Space and Multiplication Law
Covers Lie Algebra, focusing on vector space and multiplication law.
Exponential Maps: Properties and Applications in Lie Groups
Log in to Mediaspace to watch this video
Covers the properties of the exponential map in Lie groups and their algebras, including smoothness and the relationship between subgroups and algebras.
Representation Theory: Algebras and Homomorphisms
Log in to Mediaspace to watch this video
Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.
Integral Curves and Exponential Map
Log in to Mediaspace to watch this video
Explores integral curves on manifolds and the significance of the exponential map in Lie groups.
Differential of a Morphism
Log in to Mediaspace to watch this video
Introduces the concept of the differential of a morphism and its applications in algebraic treatments.
Riemannian connections
Log in to Mediaspace to watch this video
Explores Riemannian connections on manifolds, emphasizing smoothness and compatibility with the metric.
Previous
Page 1 of 3
Next
