Super linear algebra | Categories in category theory
In mathematics, a super vector space is a -graded vector space, that is, a vector space over a field with a given decomposition of subspaces of grade and grade . The study of super vector spaces and their generalizations is sometimes called super linear algebra. These objects find their principal application in theoretical physics where they are used to describe the various algebraic aspects of supersymmetry. (Wikipedia).
This video explains the definition of a vector space and provides examples of vector spaces.
From playlist Vector Spaces
What is a Vector Space? Definition of a Vector space.
From playlist Linear Algebra
What is a Vector Space? (Abstract Algebra)
Vector spaces are one of the fundamental objects you study in abstract algebra. They are a significant generalization of the 2- and 3-dimensional vectors you study in science. In this lesson we talk about the definition of a vector space and give a few surprising examples. Be sure to su
From playlist Abstract Algebra
linear algebra vector space (25 examples)
Vector Spaces. Definition and 25 examples. Featuring Span and Nul. Hopefully after this video vector spaces won't seem so mysterious any more! Check out my Vector Space playlist: https://www.youtube.com/watch?v=mU7DHh6KNzI&list=PLJb1qAQIrmmClZt_Jr192Dc_5I2J3vtYB Subscribe to my channel:
From playlist Vector Spaces
The formal definition of a vector space.
From playlist Linear Algebra Done Right
Vector Spaces andt Tensors | Wrap it Up!
In this video, I will summarize general vectorspaces on fields, bases, the dual vectorspace, and tensors/their components. This includes the dual basis definition. Translate This Video: Email : fematikaqna@gmail.com Discord: https://discord.gg/5z7pgj5 Subreddit : https://www.reddit.com/r/
From playlist Wrap It Up!
Vector spaces | Lecture 16 | Matrix Algebra for Engineers
Definition of a vector space. Join me on Coursera: https://www.coursera.org/learn/matrix-algebra-engineers Lecture notes at http://www.math.ust.hk/~machas/matrix-algebra-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_confirmation=1
From playlist Matrix Algebra for Engineers
A short video on terms such as Vector Space, SubSpace, Span, Basis, Dimension, Rank, NullSpace, Col space, Row Space, Range, Kernel,..
From playlist Tutorial 4
33 - The dimension of a vector space
Algebra 1M - international Course no. 104016 Dr. Aviv Censor Technion - International school of engineering
From playlist Algebra 1M
Inna Entova-Aizenbud: Jacobson-Morozov Lemma for Lie superalgebras using semisimplification
I will present a generalization of the Jacobson-Morozov Lemma for quasi-reductive algebraic supergroups (respectively, Lie superalgebras), based on the idea of semisimplification of tensor categories, which will be explained during the talk. This is a joint project with V. Serganova.
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Kevin Coulembier: Frobenius exact tensor categories
Abstract: Partly motivated by Grothendieck’s original vision for motives, the question arises of when a tensor category (k-linear symmetric monoidal rigid abelian category) is tannakian, i.e. is the representation category of an affine group scheme, or more generally of a groupoid in schem
From playlist Representation theory's hidden motives (SMRI & Uni of Münster)
A Mathematical Introduction to 3d N = 4 Gauge Theories (Lecture 2) by Mathew Bullimore
PROGRAM : QUANTUM FIELDS, GEOMETRY AND REPRESENTATION THEORY 2021 (ONLINE) ORGANIZERS : Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pan
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
This video covers from Chapter 1.5. These videos are associated the textbook by Scott Stevens entitled Matrices, Vectors, & 3D Math; A Game-Programming approach with MATLAB (http://www.StevensMV3D.com).
From playlist Matrices, Vectors, & 3D Math: Lecture Videos
Wall Crossing, Part 1 - Greg Moore
Wall Crossing, Part 1 Greg Moore Rutgers, The State University of New Jersey July 27, 2010
From playlist PiTP 2010
Isadore Singer- 1. Index Theory Revisited [1996]
slides for this talk: http://www.math.stonybrook.edu/Videos/SimonsLectures/direct_download.php?file=PDFs/43-Singer.pdf Simons Lecture Series Stony Brook University Department of Mathematics and Institute for Mathematical Sciences October 1-10, 1996 Isadore Singer MIT http://www.math.st
From playlist Number Theory
M2-branes and Supersymmetric Chern-Simons Theories, Part 1 - Daniel Jafferis
M2-branes and Supersymmetric Chern-Simons Theories, Part 1 Daniel Jafferis Institute for Advanced Study July 23, 2010
From playlist PiTP 2010
Supersymmetry and Superspace, Part 2 - Jon Bagger
Supersymmetry and Superspace, Part 2 Jon Bagger Johns Hopkins University July 20, 2010
From playlist PiTP 2010
Frobenius exact symmetric tensor categories - Pavel Etingof
Geometric and Modular Representation Theory Seminar Topic: Frobenius exact symmetric tensor categories Speaker: Pavel Etingof Affiliation: Massachusetts Institute of Technology Date: May 12, 2021 For more video please visit https://www.ias.edu/video
From playlist Seminar on Geometric and Modular Representation Theory
Multivariable Calculus | The notion of a vector and its length.
We define the notion of a vector as it relates to multivariable calculus and define its length. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus