Eisenstein Series and Spectral Decomposition

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Covers the tensor product of representations, combining group representations to form new ones.

Covers the definition of differentiable functions and explores the representation of the remainder in derivatives.

Corrects mistakes in NMR spectrum analysis, emphasizing integration values and chemical shifts.

Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.

Explores Hasse's representation theory, emphasizing commuting operators and multiple representations.

Covers the isotopic decomposition of modules into simple components and their properties.

Covers the transformation properties of vector fields and their representation in Lorentz tensors.

Covers the theory of time inversion operator and Lie groups, discussing the consequences of the Wigner theorem.

Introduces the Heisenberg groups, covering representation theory and unique properties.

Explores McKay graphs for finite subgroups of SU(2) and the corresponding Coxeter graphs.