Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Home

Lecture

Spherical Hecke Algebra: Irreps and Eigenspaces

About
Privacy
Disclaimer

Graph Chatbot

Related lectures (51)

Advanced Physics I: Orders of Magnitude Log in to Mediaspace to watch this video

Explores the triumph of determinism in modern mechanics and the methodology of scientific development, with practical exercises on estimating surgical mask usage and analyzing atomic bomb energy.

Heisenberg Groups: Introduction Log in to Mediaspace to watch this video

Introduces the Heisenberg groups, covering representation theory and unique properties.

Carathéodory's Theorem and Dimension Bound Log in to Mediaspace to watch this video

Explores Carathéodory's Theorem and its dimension implications for set representation.

Finite Abelian Groups: Classification Theorem Log in to Mediaspace to watch this video

Presents the classification of finite abelian groups as products of cyclic groups, a fundamental result in various branches of mathematics.

Shor's factoring algorithm: Quantum Phase Estimation Log in to Mediaspace to watch this video

Covers Shor's factoring algorithm and the link between order finding and factoring.

Ideals and Representations Log in to Mediaspace to watch this video

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

Weyl character formula Log in to Mediaspace to watch this video

Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.

Untitled Log in to Mediaspace to watch this video

Geometric Quantization: Representation Theory Log in to Mediaspace to watch this video

Explores geometric quantization in representation theory, focusing on SO3(R) acting on R³ and homogenous polynomials.

Static Equilibrium Modeling: Understanding Forces and Structures Log in to Mediaspace to watch this video

Covers static equilibrium modeling, focusing on forces, bars, and their relationships in structures.

Modules of Covariants Log in to Mediaspace to watch this video

Explores the decomposition of the circle of the coordinate ring of a G variety into a direct sum of simple submodules.

Principles of Quantum Physics Log in to Mediaspace to watch this video

Explores the fundamental principles of quantum physics, including quantum states, unitary transformations, Hilbert spaces, and measurement processes.

Taylor Series: Convergence and Applications Log in to Mediaspace to watch this video

Explores Taylor series convergence and applications in approximating functions and solving mathematical problems.

Randomness in Social Self-Organization Log in to Mediaspace to watch this video

Discusses randomness in social self-organization, exploring its role in democratic processes and the challenges of representation and accuracy.

AC Circuits: Reactances, Impedance, Rotating Vectors Log in to Mediaspace to watch this video

Explores reactances, impedance, and rotating vectors in AC circuits.

Optimal Decision Making: The Simplex Method Log in to Mediaspace to watch this video

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

Explores matrix similarity, eigenvalues, and diagonalization in linear algebra.

Natural Transformations in Algebra Log in to Mediaspace to watch this video

Explores natural transformations in algebra, defining functors and isomorphisms.

Motion in the Plane Log in to Mediaspace to watch this video

Introduces velocity, displacement, trajectory, and acceleration in motion analysis.

Closure Conversion: Representation and Transformation Log in to Mediaspace to watch this video

Explores the representation and transformation of values, focusing on closure conversion and the challenges of representing functions in functional languages.

Page 2 of 3