Group Theory in Physics

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Related lectures (52)

Manifolds: Charts and Compatibility Log in to Mediaspace to watch this video

Covers manifolds, charts, compatibility, and submanifolds with smooth analytic equations.

Group Theory Basics Log in to Mediaspace to watch this video

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

Geometric Quantization: Representation Theory Log in to Mediaspace to watch this video

Explores geometric quantization in representation theory, focusing on SO3(R) acting on R³ and homogenous polynomials.

Coxeter Groups: Generators and Relations Log in to Mediaspace to watch this video

Explores Coxeter groups, emphasizing generators, relations, and unique presentations in group theory.

Groups: Definitions, Properties, and Homomorphisms Log in to Mediaspace to watch this video

Introduces the basic concepts of groups, including definitions, properties, and homomorphisms, with a focus on subgroup properties and normal subgroups.

Group Theory: Direct Sum of Abelian Groups Log in to Mediaspace to watch this video

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

Homomorphism of Groups: Signature Log in to Mediaspace to watch this video

Explores homomorphisms of groups, focusing on the signature sgn and the concept of cycles and transpositions.

Symmetries in Mechanics and Wave Equations Log in to Mediaspace to watch this video

Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.

Eshelby Method: Modulus Mismatch and Eigenstrains Log in to Mediaspace to watch this video

Discusses stress concentrations, modulus mismatch, and eigenstrains in materials.

Groupes Isomorphes: Applications Log in to Mediaspace to watch this video

Explores isomorphic groups, bijective morphisms, and their applications in group theory.

Compact Manifolds Classification Log in to Mediaspace to watch this video

Covers the classification of compact p-adic manifolds using the C.o.V-formula and explores smooth algebraic varieties and Hensel's lemma.

Morphism of Groups Log in to Mediaspace to watch this video

Covers the concept of morphism of groups, actions on sets, and automorphisms.

Manopt: Optimization Toolbox for Manifolds Log in to Mediaspace to watch this video

Introduces Manopt, a toolbox for optimization on manifolds, focusing on solving optimization problems on smooth manifolds using the Matlab version.

Class Equation and Burnside's Lemma Log in to Mediaspace to watch this video

Explores the class equation and Burnside's lemma in group theory.

Quantifier Free Formula Log in to Mediaspace to watch this video

Covers the transformation of quantifier free formulas into equisatisfiable formulas and reduction to solve modulo arithmetic.

Finite Element Modeling: Dynamics Log in to Mediaspace to watch this video

Introduces the basics of finite element modeling for dynamics and discusses the Newmark method for time integration.

Mechanics: Symmetric Haltere and Center of Mass Log in to Mediaspace to watch this video

Covers the mechanics of a symmetric haltere and the importance of center of mass calculation.

Normed Spaces Log in to Mediaspace to watch this video

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Digital History: Exploring 20th Century through Press Analysis Log in to Mediaspace to watch this video

Explores digital history and press analysis, emphasizing the impact of digital tools on knowledge dissemination and historical research.

Finite Abelian Groups: Classification Theorem Log in to Mediaspace to watch this video

Presents the classification of finite abelian groups as products of cyclic groups, a fundamental result in various branches of mathematics.

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