Representation theory | Module theory
In mathematics, specifically in ring theory, the simple modules over a ring R are the (left or right) modules over R that are non-zero and have no non-zero proper submodules. Equivalently, a module M is simple if and only if every cyclic submodule generated by a non-zero element of M equals M. Simple modules form building blocks for the modules of finite length, and they are analogous to the simple groups in group theory. In this article, all modules will be assumed to be right unital modules over a ring R. (Wikipedia).
Simple Machines (4 of 7) Pulleys; Calculating the Amount of Work Done
For the pulley simple machine shows how to calculate the amount of work done when raising an object and why simple machines do not make your work easier! A simple machine is a mechanical device that changes the direction and the magnitude of a force. In general, they can be defined as th
From playlist Mechanics
Simple Machines (1 of 7) Pulleys; Defining Forces, Distances and MA
For the pulley simple machine this video defines the terms input and output force, input and output distance and mechanical advantage. A simple machine is a mechanical device that changes the direction and the magnitude of a force. In general, they can be defined as the simplest mechanis
From playlist Mechanics
Simple Machines (2 of 7) Pulleys; Calculating Distances, Forces, MA, Part 1
For the pulley simple machine shows how to calculate the input and output distances, the input and output forces and mechanical advantage. A simple machine is a mechanical device that changes the direction and the magnitude of a force. In general, they can be defined as the simplest mech
From playlist Mechanics
A Simple Programming Language - (part 1 of 13)
An introduction to programming with a reductively simple programming language. Part of a larger series teaching programming. Visit http://codeschool.org Please link to the playlist (http://www.youtube.com/playlist?list=PL2F1485C69B311408) rather than this video as individual videos may g
From playlist A Simple Programming Language
Simple Machines (3 of 7) Pulleys; Calculating Forces, Distances, MA, Part 2
For the pulley simple machine shows how to calculate the input force, input distance and the mechanical advantage. A simple machine is a mechanical device that changes the direction and the magnitude of a force. In general, they can be defined as the simplest mechanisms that use mechani
From playlist Mechanics
Extending the capabilities of Python with the Math module
From playlist Introduction to Pyhton for mathematical programming
A Simple Programming Language - (part 8 of 13)
An introduction to programming with a reductively simple programming language. Part of a larger series teaching programming. Visit http://codeschool.org Please link to the playlist (http://www.youtube.com/playlist?list=PL2F1485C69B311408) rather than this video as individual videos may g
From playlist A Simple Programming Language
Physical Science 4.1a - Simple Machines
Introduction to the topic of Simple Machines. Simple machines are briefly described, and will be dealt with in more detail later in the chapter. In this video: 1) Lever, 2) Wheel and Axle, 3) Pulley.
From playlist Physical Science Chapter 4
B04 Example problem of simple harmonic oscillation
Solving an example problem of simple harmonic oscillation, which requires calculating the solution to a second order ordinary differential equation.
From playlist Physics ONE
Commutative algebra 24 Artinian modules
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We define Artinian rings and modules, and give several examples of them. We then study finite length modules, show that they
From playlist Commutative algebra
Modular Representation Theory: Week Two
Presented by Chris Hone.
From playlist Modular Representation Theory
Simple Modules for SL2 via BN-Pairs - Lars Thorge Jensen
Seminar on SL2 Topic: Simple Modules for SL2 via BN-Pairs Speaker: Lars Thorge Jensen Affiliation: Member, School of Mathematics Date: October 27, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Broué’s Abelian Defect Group Conjecture I - Jay Taylor
Seminar on Geometric and Modular Representation Theory Topic: Broué’s Abelian Defect Group Conjecture I Speaker: Jay Taylor Affiliation: University of Southern California; Member, School of Mathematics Date: September 9, 2020 For more video please visit http://video.ias.edu
From playlist Seminar on Geometric and Modular Representation Theory
Broué’s Abelian Defect Group Conjecture II - Daniel Juteau
Seminar on Geometric and Modular Representation Theory Topic: Broué’s Abelian Defect Group Conjecture II Speaker: Daniel Juteau Affiliation: Centre National de la Recherche Scientifique/Université Paris Diderot; Member, School of Mathematics Date: September 16, 2020 For more video please
From playlist Seminar on Geometric and Modular Representation Theory
Vanessa Miemietz: A categorified double centraliser theorem and applications to Soergel bimodules
I will explain how notions from classical representation theory, including a double centraliser theorem, lift to finitary 2-representation theory, and how this helps in classifying simple 2-representations of Soergel bimodules of finite Coxeter type in characteristic zero.
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Serge Bouc: Correspondence functors
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Representation theory and geometry – Geordie Williamson – ICM2018
Plenary Lecture 17 Representation theory and geometry Geordie Williamson Abstract: One of the most fundamental questions in representation theory asks for a description of the simple representations. I will give an introduction to this problem with an emphasis on the representation theor
From playlist Plenary Lectures
Download the free PDF http://tinyurl.com/EngMathYT This video shows how to integrate over rectangles. The ideas use double integrals and are seen in university mathematics.
From playlist Several Variable Calculus / Vector Calculus
Geordie Williamson: Parity sheaves and modular representations I
This is a talk of Gordie Williamson given at the Harvard CDM Conference of November 23, 2019.
From playlist Geordie Williamson external seminars