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Lecture
Transformations of the Plane: Definitions and Properties
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Translations and Homotheties
Covers translations, homotheties, and geometric transformations using vectors and matrices.
Spherical Tensors and Wigner-Eckart Theorem
Covers the transformation of vectors and tensors in quantum physics.
Translations and Homotheties
Explores translations and homotheties, discussing their properties and practical applications in preserving geometric characteristics.
Elements of Lie Groups and Algebras
Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.
Geometric Transformations: Translation and Homothety
Explores geometric transformations like translation and homothety in the plane.
Translations and Homotheties
Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.
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Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.
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Explores critical behavior in general relativity, including scaling factor and coupling constant flow.
Reflection and Rotation Composition
Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.
Lecture 5: Conformal Transformations
Explores Conformal Transformations, emphasizing scale transformations and correlation functions.