Concept

Symmetric space

Related lectures (32)

Symmetric Group: Cycle Notation

Explores the symmetric group, emphasizing cycle notation and group properties.

Symmetric Figures

Covers the concept of symmetry and examples in a square.

Unconstrained Optimization Theory

Explores unconstrained optimization theory, covering global and local minima, convexity, and gradient concepts.

Group Presentation of S3

Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.

Groupes résolubles

Explores solvable groups, group actions, normalizers, and stabilizers in group theory.

Representations of SU(2): Symmetries and Transformations

Covers the representations of SU(2) and their transformations in quantum mechanics.

Universal Covering: Basics

Covers the concept of universal covering and its properties, including examples and monodromy action.

Plasmonic Strip Waveguides

Explores the design and characterization of plasmonic strip waveguides and groove waveguides using FIB technology.

Active Learning: Group Structures and Symmetric Actions

Explores active learning implications in understanding group structures and symmetric actions.

Group Theory: Definition and Examples

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

Postnikov tower + cool stuff

Covers the Postnikov tower, homotopy fibers, suspension, and the James construction.

Quotient Groups and Push-outs

Covers the construction of push-outs in the category Ens and philosophical concepts of universality and co-universality.

Group Theory Basics

Covers the fundamental concepts of group theory and examples of real numbers and permutations.

Higher Homotopy Groups: Generalization and Structure

Explores the generalization and structure of higher homotopy groups, including their abelianness, historical context, and properties of H spaces.

Permutations and Symmetric Groups

Covers symmetric groups, transpositions, sign of a permutation, and conjugacy classes in permutations.

Differential Forms on Manifolds

Introduces differential forms on manifolds, covering tangent bundles and intersection pairings.

Electromagnetic Problems: Well-Posedness and Convergence

Explores the well-posedness and convergence of electromagnetic problems, including continuity interpolation, Darcy's law, and surjectivity properties.

Lie Algebras and Representations

Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.

Eigenfunctions and Continuous Bounded 1D Wave Equation

Explores eigenfunctions, harmonic oscillators, and the solution to linear differential equations using a basis of eigenvectors.

Three-Phase Systems: Bias in Judgment and Power Analysis

Explores bias in judgment and power analysis in three-phase systems, including symmetrical and non-symmetrical configurations, load connections, and transient circuits.