Concept

Identity component

Related lectures (11)

Introduces the basics of group theory, including operations, properties, and Lie groups.

Introduces the basics of group theory, covering definitions, examples, subgroups, and homomorphisms.

Stéréotomie: Vousssoirs and Collaborative Work

Covers the organization of the course, creation of voussoir components, collaborative work, and selection of group components.

Homotopy Classes

Covers the concept of homotopy classes and their properties in topology, including short components and group concatenation.

Comsol: Parallel plate capacitor

Focuses on modeling a parallel plate capacitor using Comsol, emphasizing clear project ideas and group collaboration.

Connected Components

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

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.

Base B for X: Connected Sets and Open Bases

Explores the concept of a base B for a topological space X and the properties of connected sets and open bases.

Exponential Maps: Properties and Applications in Lie Groups

Covers the properties of the exponential map in Lie groups and their algebras, including smoothness and the relationship between subgroups and algebras.

Dirac's Notation, Tensor Product

Covers Dirac's notation in linear algebra and the tensor product concept in Hilbert spaces.

Topology: Homotopy and Cone Attachments

Discusses homotopy and cone attachments in topology, emphasizing their significance in understanding connected components and fundamental groups.