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Lecture
Macdonald identities
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Related lectures (32)
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Integral Curves and Exponential Map
Explores integral curves on manifolds and the significance of the exponential map in Lie groups.
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.
Exponential Maps: Properties and Applications in Lie Groups
Covers the properties of the exponential map in Lie groups and their algebras, including smoothness and the relationship between subgroups and algebras.
Properties of the Exponential Map
Explores the properties of the exponential map in Lie groups and algebras.
The Adjoint Representation
Introduces the concept of the adjoint representation in Lie algebras.
Lie Groups: Representations and Transformations
Explores Lie groups, scalar fields, and vector spaces transformations.
Dynamics on Homogeneous Spaces and Number Theory
Covers dynamical systems on homogeneous spaces and their interactions with number theory.
Lie Algebra: Representations
Explores Lie algebra representations, emphasizing SU(2) and traceless matrices, explained by Alfredo Glioti.
Lie Algebras and Representations
Explores Lie algebras, representations, tensor products, and commutation relations in mathematics.
