Lie algebra representation

Formal sciences
Mathematics
Algebra
Representation theory

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Lie Algebra: Basics and Applications

Covers the basics of Lie algebra and its applications in linear equations and Einstein tensor calculations.

Ideals and Representations

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Hilpot Liegr: Understanding Nilpotent Lie Groups

Explores nilpotent Lie groups, their orbits, and adjoint actions, illustrating simplicity and form.

Simple Lie Algebras: Classification and Properties

Explores the classification and properties of simple complex Lie algebras, emphasizing their connection with Lie groups.

Lie Algebra: Vector Space and Multiplication Law

Covers Lie Algebra, focusing on vector space and multiplication law.

Phase Plan: Trajectories and Isoclines

Explores trajectories and isoclines in mechanical systems using phase plans and different representation methods.

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.

Optimal Decision Making: The Simplex Method

Introduces the Simplex Method for optimal decision making in linear programming, covering basic and advanced concepts.

Lie Algebra Representation

Delves into Lie algebra representation and Lorentz subgroup concepts.

Completely Reducible Representations

Covers completely reducible representations, simple modules, semisimple modules, and G-stable submodules.