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Lie group–Lie algebra correspondence
Formal sciences
Mathematics
Algebra
Representation theory
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Related lectures (31)
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Lie Groups: Structure and Translations
Explores Lie groups, translations, and invariance of states under transformations.
Hilpot Liegr: Understanding Nilpotent Lie Groups
Explores nilpotent Lie groups, their orbits, and adjoint actions, illustrating simplicity and form.
Lie Algebra: Representations
Explores Lie algebra representations, emphasizing SU(2) and traceless matrices, explained by Alfredo Glioti.
Kirillov Paradigm for Heisenberg Group
Explores the Kirillov paradigm for the Heisenberg group and unitary representations.
Lie Groups and Lorentz Transformations
Covers Lie groups, Lorentz transformations, boosts, rotations, and complexified Lie algebras.
Representation Theory: Algebras and Homomorphisms
Covers the goals and motivations of representation theory, focusing on associative algebras and homomorphisms.
Electromagnetic Field
Covers the electromagnetic field in astrophysics and field theory, including the symmetry principle and interaction terms.
Lie Group: Structure and Transformations
Explores Lie groups, their structure, and applications in transformations.
Lie Groups: SU(2) and SO(3)
Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.
Lie Algebras and Representations
Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.
Properties of the Exponential Map
Explores the properties of the exponential map in Lie groups and algebras.
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