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Related lectures (27)
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Machine Learning at the Atomic Scale
Explores simple models, electronic structure evaluation, and machine learning at the atomic scale.
Central Results in Hermite Forms
Covers central results in Hermite forms and principal series representations in group theory.
Modeling Introduction
Explores the importance of modeling to understand and control complex systems efficiently.
Heisenberg Groups: Introduction
Introduces the Heisenberg groups, covering representation theory and unique properties.
Harmonic Stability Analysis
Explores stability analysis of the 1st harmonic in closed-loop systems and the importance of harmonic conditions for limit cycles.
Difference Equations and Controllers
Covers linear difference equations, controllers, discretization, and approximation techniques.
Poincaré Irreps 2: Little Group and Induced Representation
Explores Poincaré irreducible representations, Little Group, and induced representation in the context of momentum eigenstates.
Hilpot Liegr: Understanding Nilpotent Lie Groups
Explores nilpotent Lie groups, their orbits, and adjoint actions, illustrating simplicity and form.
Correspondence between Heis and Co-adjoint Orbits
Delves into the 1-1 correspondence between Heisenberg groups and co-adjoint orbits, showcasing the relationship between Fleis and the co-adjoint of Heis.
The Adjoint Representation
Introduces the concept of the adjoint representation in Lie algebras.