Lie Algebra of Lorentz Group

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Explores Einsteinian relativity, the Lorentz group, and Poincaré transformations, emphasizing proper and non-orthochronous components.

Lie Groups: SU(2) and SO(3)

Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.

Spinorial Fields: Lorentz Group Representation

Covers the most general representation of Lorentz group on spinorial fields.

Lie Groups: Representations and Transformations

Explores Lie groups, scalar fields, and vector spaces transformations.

General Fields: Lorentz Representations

Covers the representation of Lorentz transformations through general fields and the consequences of symmetry.

Symmetries and Groups in Quantum Mechanics

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

EM Field: Discrete Symmetries

Covers EM Field and Discrete Symmetries, emphasizing the importance of symmetries in quantum field theory.

Lorentz Transformations and Covariant Tensors

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.

Lorentz Invariance: Velocities, Time Dilation, Length Contraction

Explores Lorentz invariance, covering velocities, time dilation, and length contraction, with implications for symmetries and physical interpretations.

Group Theory: Basics

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.