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Lecture 09 - Differential structures: the pivotal concept of tangent vector spaces (Schuller's Geometric Anatomy of Theoretical Physics)

Differentiable Manifold / Lie Algebra / Vector Space / Basis (Linear Algebra) / Mathematical Analysis

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 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

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