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Lecture
Symplectic Groups
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Related lectures (29)
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Linear Transformations: Injective and Surjective
Explores injective and surjective linear transformations, kernel, image, and matrix operations.
Interpolation of Lagrange: Dualité and Coupling
Explores Lagrange interpolation, emphasizing uniqueness and simplicity in reconstructing functions from limited values.
Group Actions: Examples
Showcases examples of group actions on vector spaces and topological spaces.
Determinants: Special Linear Groups and Matrix Properties
Explores the special linear group, matrix properties, and determinant theorems.
Weak Formulation of Elliptic PDEs
Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.
Matrix Operations: Scaling and Invertibility
Covers scaled matrices, ladder matrices, and the Gauss method for matrix operations.
Subrepresentations of the regular representation
Explores subrepresentations of the regular representation in group theory, emphasizing properties and isomorphism between subrepresentations.
Isotypic Decomposition
Covers the isotopic decomposition of modules into simple components and their properties.
Linear Algebra: Matrix Operations and Basis
Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.