Integrable systems | Representation theory
In conformal field theory and representation theory, a W-algebra is an associative algebra that generalizes the Virasoro algebra. W-algebras were introduced by Alexander Zamolodchikov, and the name "W-algebra" comes from the fact that Zamolodchikov used the letter W for one of the elements of one of his examples. (Wikipedia).
Algebra for Beginners | Basics of Algebra
#Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. Table of Conten
From playlist Linear Algebra
Linear Algebra: Continuing with function properties of linear transformations, we recall the definition of an onto function and give a rule for onto linear transformations.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics
Determine if W = {(a,b,c)| a = b^2} is a Subspace of the Vector Space R^3
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determine if W = {(a,b,c)| a = b^2} is a Subspace of the Vector Space R^3
From playlist Linear Algebra
This is part of an online course on beginner/intermediate linear algebra, which presents theory and implementation in MATLAB and Python. The course is designed for people interested in applying linear algebra to applications in multivariate signal processing, statistics, and data science.
From playlist Linear algebra: theory and implementation
Linear Algebra Full Course for Beginners to Experts
Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis may be basically viewed as the application of l
From playlist Linear Algebra
From playlist College Algebra
Linear Algebra 8.2 Compositions and Inverse Transformations
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul A. Roberts is supported in part by the grants NSF CAREER 1653602 and NSF DMS 2153803.
From playlist Linear Algebra
The Lie-algebra of Quaternion algebras and their Lie-subalgebras
In this video we discuss the Lie-algebras of general quaternion algebras over general fields, especially as the Lie-algebra is naturally given for 2x2 representations. The video follows a longer video I previously did on quaternions, but this time I focus on the Lie-algebra operation. I st
From playlist Algebra
Linear Algebra 4.3 Spanning Sets
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul
From playlist Linear Algebra
Boris Feigin - Extensions of usual and deform vertex algebras
Boris Feigin (Landau Institute, Moscou) Extensions of usual and deform vertex algebras There are two natural ways to constract the new vertex algebras.One -as subalgebra in the known one.Bosonisation is the special case of this construction.The second idea is opposite -to get the new algeb
From playlist Conférence à la mémoire de Vadim Knizhnik
This lecture is part of an online graduate course on Lie groups. This lecture is about Lie's theorem, which implies that a complex solvable Lie algebra is isomorphic to a subalgebra of the upper triangular matrices. . For the other lectures in the course see https://www.youtube.com/playl
From playlist Lie groups
The length of a rectangle is 4 m less than twice its width. If the area = 96 m sq, the width is = ?
How to solve an algebra word problem - rectangle, length, width and area. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets,
From playlist GED Prep Videos
Vic Reiner, Lecture II - 11 February 2015
Vic Reiner (University of Minnesota) - Lecture II http://www.crm.sns.it/course/4036/ Many results in the combinatorics and invariant theory of reflection groups have q-analogues for the finite general linear groups GLn(Fq). These lectures will discuss several examples, and open questions
From playlist Algebraic topology, geometric and combinatorial group theory - 2015
Braid group actions and PBW type basis pt2 - Calder Morton-Ferguson
Quantum Groups Seminar Topic: Braid group actions and PBW type basis pt2 Speaker: Calder Morton-Ferguson Affiliation: Massachusetts Institute of Technology Date: March 11, 2021 For more video please visit http://video.ias.edu
From playlist Quantum Groups Seminar
Complete Cohomology for Shimura Curves (Lecture 1) by Stefano Morra
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
Nonlinear algebra, Lecture 2: "Algebraic Varieties", by Mateusz Michałek
This is the second lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences. In this lecture, Mateusz Michalek describes the main characters in algebraic geometry: algebraic varieties.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
Olivier Benoist: Algebraic approximation of submanifolds of real algebraic varieties
CONFERENCE Recording during the thematic meeting : "Real Aspects of Geometry" the November 1, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audi
From playlist Algebraic and Complex Geometry
QED Prerequisites Geometric Algebra 5- Multivectors
In this lesson we introduce the idea of multivectors and emphasize the need to understand how to take the spacetime product of any two multivectors in the Spacetime Algebra. We demonstrate how this is done for the product between a vector and a bivector and we interpret the meaning of each
From playlist QED- Prerequisite Topics
Example of Orthogonal Complement
Linear Algebra: Let u = (1, 2, -1) in R^3, and let W be the subspace of all vectors in R^3 orthogonal to u. Find a basis of unit vectors for W.
From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics