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Lecture
Lie Algebra: Group Theory
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Related lectures (30)
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Lie Algebra: Vector Space and Multiplication Law
Covers Lie Algebra, focusing on vector space and multiplication law.
Lie Groups: SU(2) and SO(3)
Covers Lie groups, focusing on SU(2) and SO(3), discussing group structure and representations.
Lie Algebra: Representations and Symmetry Groups
Covers Lie algebra, group representations, symmetry groups, and Schur's lemma in the context of symmetry and group operations.
Linear Lie Groups: Definitions and Theorems
Discusses linear Lie groups, their definitions, properties, and the relationship between integral curves and vector fields.
Local structure of totally disconnected locally compact groups III
Explores the local structure of totally disconnected locally compact groups and their isomorphisms through conjugation.
Composition of Applications in Mathematics
Explores the composition of applications in mathematics and the importance of understanding their properties.
Lie Theorems and Group Algebra
Covers Lie theorems, group algebra, Ado's theorem, and spacetime symmetries.
Lie Algebras: Introduction and Structure
Introduces Lie algebras, vector spaces with a special bracket operation.
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.
Weak Derivatives: Definition and Properties
Covers weak derivatives, their properties, and applications in functional analysis.
