Lie Groups

Lecture 08 - Tensor space theory I: over a field (Schuller's Geometric Anatomy of Theoretical Physics)

Basis (Linear Algebra) / Vector Space / Ring (Mathematics) / Determinant / Lie Groups

Lecture 01 - Logic of Propositions and Predicates (Schuller's Geometric Anatomy of Theoretical Physics)

Axiom / Contradiction / Proposition / Lie Groups / Theorem

Lecture 01 - Logic of Propositions and Predicates (Schuller's Geometric Anatomy of Theoretical Physics)

Axiom / Contradiction / Proposition / Lie Groups / Theorem

Lecture 01 - Logic of Propositions and Predicates (Schuller's Geometric Anatomy of Theoretical Physics)

Axiom / Contradiction / Proposition / Lie Groups / Theorem

Lie Groups / Multiplication / Exponentiation / Special Functions / Combinatorics

Lecture 12 - Grassmann algebra and de Rham cohomology (Schuller's Geometric Anatomy of Theoretical Physics)

Differential Form / Differential Geometry / Differentiable Manifold / Lie Groups / Vector Space

Lecture 14 - Classification of Lie Algebras and Dynkin Diagrams (Schuller's Geometric Anatomy of Theoretical Physics)

Lie Algebra / Lie Groups / Vector Space / Topological Groups / Representation Theory

Lecture 15 - The Lie Group SL(2,C) and its Lie Algebra sl(2,C) (Schuller's Geometric Anatomy of Theoretical Physics)

Differentiable Manifold / Topology / Lie Groups / Lie Algebra / Vector Space

Lecture 14 - Classification of Lie Algebras and Dynkin Diagrams (Schuller's Geometric Anatomy of Theoretical Physics)

Lie Algebra / Lie Groups / Vector Space / Topological Groups / Representation Theory

Lecture 13 - Lie groups and their Lie algebras (Schuller's Geometric Anatomy of Theoretical Physics)

Differentiable Manifold / Lie Groups / Lie Algebra / Group (Mathematics) / Vector Space

Lecture 16 - Dynkin Diagrams from Lie Algebras, and Vice Versa (Schuller's Geometric Anatomy of Theoretical Physics)

Lie Algebra / Lie Groups / Vector Space / Algebra / Mathematical Structures

Schuller's Geometric Anatomy of Theoretical Physics, Lectures 1-17

Empty Set / Axiom / Lie Groups / Contradiction / Differentiable Manifold

Schuller's Geometric Anatomy of Theoretical Physics, Lectures 1-17

Empty Set / Axiom / Lie Groups / Contradiction / Differentiable Manifold

Lecture 17 - Representation Theory of Lie Groups and Lie Algebras (Schuller's Geometric Anatomy of Theoretical Physics)

Lie Algebra / Group Representation / Lie Groups / Representation Theory / Vector Space

Lecture 18 - Reconstruction of a Lie Group from its Algebra (Schuller's Geometric Anatomy of Theoretical Physics)

Lie Groups / Differentiable Manifold / Curve / Field (Mathematics) / Vector Space

Lecture 19 - Principal Fibre Bundles (Schuller's Geometric Anatomy of Theoretical Physics)

Differentiable Manifold / Lie Groups / Group Theory / Metric Geometry / Geometry