Concept
Symmetric algebra
Related lectures (27)
Trust region methods: framework & algorithms
Covers trust region methods, focusing on the framework and algorithms.
Weyl character formula
Explores the proof of the Weyl character formula for finite-dimensional representations of semisimple Lie algebras.
Differentiability: Partial Derivatives and Hessiennes
Explains partial derivatives, Hessienne matrix, and their properties.
Tensor Products of Modules
Covers tensor algebras, symmetric and exterior algebras, and tensor products of modules.
Symmetry in Integrals & Matrix Elements
Explores the concept of symmetry in integrals and matrix elements.
Shor Algorithm: Quantum Factorization
Covers the Shor algorithm for quantum factorization using tensor methods and graded solutions.
Tensor Products and Symmetric Power
Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.
The Hessian and Newton's method
Covers the Hessian and Newton's method for optimization using iterative processes.
Stochastic Calculus: Lecture 1
Covers the essentials of probability, algebras, and conditional probability, including the Borel o-algebra and Poisson processes.
Density Theorem: Endomorphisms of Simple Modules
Covers the density theorem in representation theory, focusing on endomorphisms of simple finite-dimensional modules.