Lecture

Symmetries in Physics

Related lectures (31)

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.

Groups and Numbers: Mathematical Elements on Groups

Explores fundamental properties of groups and numbers, emphasizing equivalence classes and subgroup concepts.

Group Theory Basics

Covers the basics of group theory, including elements, associativity, identity, inverses, and closure.

Group Theory Basics

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

Group Theory: Definition and Examples

Covers the definition of a group, properties of symmetries, and group operations.

Commutative Groups: Foundations for Cryptography

Covers commutative groups and their significance in cryptography.

Group Theory: Definitions and Properties

Introduces group theory concepts, including definitions and properties of groups, rings, and fields.

Group Theory: Direct Sum of Abelian Groups

Explores the arithmetic of direct sum of abelian groups and the process of turning a monoid into a commutative group.

Categorical Perspective: Group Quotients

Explores the categorical sense of constructing a group quotient by a normal subgroup, showing it as a specific example of a more general construction.

Symmetries in Plane Geometry

Explores symmetries in plane geometry, including isometries, reflections, and practical applications in design.

Lie Algebra: Group Theory

Explores Lie Algebra's connection to Group Theory through associative operations and Jacobi identities.

Groups & Subgroups: Definitions, Theorems, and Morphisms

Covers the fundamental concepts of groups and subgroups, including definitions, theorems, and morphisms.

Group Theory: Basics

Covers the basics of group theory, including definitions, examples, and isometries.

Group Theory: Reducible and Irreducible Representations

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.

Group Theory Fundamentals

Introduces group theory basics and group action concepts with associated subsets.

Universal Property of Groups

Explores the universal property of groups, defining homomorphisms and exploring subgroup properties.

Group Theory Basics

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

Fundamental Groups

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.