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Related lectures (32)

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Diagonalizable Groups

Explores the concept of diagonalizable groups and their properties in linear algebraic groups.

Linear Transformations in R³

Covers operations on linear applications in R³, including composition, addition, and determinants.

Group Actions on Lattices

Explores group actions on lattices, emphasizing GL₂(Q) and GL₂(Ag) compatibility and alternative formulations.

Self-similar groups II

Explores self-similar groups acting on rooted trees and their properties.

Dynamics on Homogeneous Spaces and Interactions with Number Theory

Explores dynamics on homogeneous spaces and their interactions with number theory, focusing on modular lattices and the Iwasawa decomposition theorem.

Matrix Inversion

Explores matrix inversion, conditions for invertibility, uniqueness of the inverse, and elementary matrices for inversion.

Matrix Operations: Row Echelon Form

Covers the process of row echelon form by performing various operations on matrices.

Group Actions: Examples

Showcases examples of group actions on vector spaces and topological spaces.

Specification of the deterministic part

Explores non-linear transformations in modeling heterogeneity and individual-specific coefficients based on socio-economic characteristics.

Lorentz Transformations and Covariant Tensors

Explores Lorentz transformations, covariant tensors, rotational invariance, and linear transformations in vector spaces.