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Related lectures (30)
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Eisenstein Series and Spectral Decomposition
Covers Eisenstein series properties and spectral decomposition of functions.
Heisenberg Groups: Introduction
Introduces the Heisenberg groups, covering representation theory and unique properties.
Time Inversion Operator, Lie Group
Covers the theory of time inversion operator and Lie groups, discussing the consequences of the Wigner theorem.
Group Algebra: Maschke's Theorem
Explores Wedderburn's theorem, group algebras, and Maschke's theorem in the context of finite dimensional simple algebras and their endomorphisms.
Representation Theory: Hasse's Theorem
Explores Hasse's representation theory, emphasizing commuting operators and multiple representations.
Geometric Quantization: Representation Theory
Explores geometric quantization in representation theory, focusing on SO3(R) acting on R³ and homogenous polynomials.
Wigner's Theorem and Temporal Inversion Operator
Explores Wigner's Theorem and temporal inversion operator in quantum mechanics.
Representation Theory: Actions and Invariants
Covers the representation theory of groups, focusing on actions and invariants.
Elements of Lie Groups and Algebras
Explores the transformation of vectors and tensors in quantum physics, emphasizing Lie groups and algebras.
Group Theory: Reducible and Irreducible Representations
Explores group theory in quantum physics, emphasizing reducible and irreducible representations, conservation laws, and group properties.