Lie algebras | Representation theory | Matrices
In mathematics, the term Cartan matrix has three meanings. All of these are named after the French mathematician Élie Cartan. Amusingly, the Cartan matrices in the context of Lie algebras were first investigated by Wilhelm Killing, whereas the Killing form is due to Cartan. (Wikipedia).
We have already looked at the column view of a matrix. In this video lecture I want to expand on this topic to show you that each matrix has a column space. If a matrix is part of a linear system then a linear combination of the columns creates a column space. The vector created by the
From playlist Introducing linear algebra
What is a matrix? Free ebook http://tinyurl.com/EngMathYT
From playlist Intro to Matrices
Matrix Algebra Basics || Matrix Algebra for Beginners
In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. This course is about basics of matrix algebra. Website: https://geekslesson.com/ 0:00 Introduction 0:19 Vectors and Matrices 3:30 Identities and Transposes 5:59 Add
From playlist Algebra
2 Construction of a Matrix-YouTube sharing.mov
This video shows you how a matrix is constructed from a set of linear equations. It helps you understand where the various elements in a matrix comes from.
From playlist Linear Algebra
Linear Algebra for Computer Scientists. 12. Introducing the Matrix
This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order
From playlist Linear Algebra for Computer Scientists
Understanding Matrices and Matrix Notation
In order to do linear algebra, we will have to know how to use matrices. So what's a matrix? It's just an array of numbers listed in a grid of particular dimensions that can represent the coefficients and constants from a system of linear equations. They're fun, I promise! Let's just start
From playlist Mathematics (All Of It)
Cartesian coordinates | Lecture 2 | Vector Calculus for Engineers
Defines Cartesian coordinates, unit vectors, the position vector and the displacement vector. Join me on Coursera: https://www.coursera.org/learn/vector-calculus-engineers Lecture notes at http://www.math.ust.hk/~machas/vector-calculus-for-engineers.pdf Subscribe to my channel: http://
From playlist Vector Calculus for Engineers
Quivers for symmetrizable Cartan matrices and algebraic Lie theory – C. Geiß – ICM2018
Lie Theory and Generalizations | Algebra Invited Lecture 7.11 | 2.6 Quivers with relations for symmetrizable Cartan matrices and algebraic Lie theory Christof Geiß Abstract: We give an overview of our effort to introduce (dual) semicanonical bases in the setting of symmetrizable Cartan m
From playlist Lie Theory and Generalizations
Jeremy Rouse, l-adic images of Galois for elliptic curves over Q
VaNTAGe seminar, June 22, 2021 License: CC-BY-NC-SA
From playlist Modular curves and Galois representations
Definition of a matrix | Lecture 1 | Matrix Algebra for Engineers
What is a matrix? 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
Stefaan Vaes: Cohomology and L2-Betti numbers for subfactors and quasi-regular inclusions
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 Analysis and its Applications
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
Xin Li: Cartan subalgebras in C*-algebras
This talk is about the notion of Cartan subalgebras introduced by Renault, based on work of Kumjian. We explain how Cartan algebras build a bridge between dynamical systems and operator algebras, and why this notion might be interesting for the structure theory of C*-algebras as well. The
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan #shorts
Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan #shorts Full Review: https://youtu.be/5JJzHUKyxrE This is the book on amazon:https://amzn.to/380wqF7 (note this is my affiliate link) Book Review #shorts: https://www.youtube.com/playlist?list=PL
From playlist Book Reviews #shorts
Oldschool Complex Analysis Book
Oldschool Complex Analysis Book This is the book on amazon: https://amzn.to/2pTP39K (note this is my affiliate link, I earn a small percentage from qualifying purchases) This is an absolute classic. The author of this book was a founding member of the Bourbaki Group and lived to be 104 y
From playlist Cool Math Stuff
Kevin Buzzard (lecture 18/20) Automorphic Forms And The Langlands Program [2017]
Full course playlist: https://www.youtube.com/playlist?list=PLhsb6tmzSpiysoRR0bZozub-MM0k3mdFR http://wwwf.imperial.ac.uk/~buzzard/MSRI/ Summer Graduate School Automorphic Forms and the Langlands Program July 24, 2017 - August 04, 2017 Kevin Buzzard (Imperial College, London) https://w
From playlist MSRI Summer School: Automorphic Forms And The Langlands Program, by Kevin Buzzard [2017]
On the crossroads of enumerative geometry and representation theory – Andrei Okounkov – ICM2018
Plenary Lecture 4 On the crossroads of enumerative geometry and geometric representation theory Andrei Okounkov Abstract: The subjects in the title are interwoven in many different and very deep ways. I recently wrote several expository accounts that reflect a certain range of developmen
From playlist Plenary Lectures
Holomorphic Cartan geometries on simply connected manifolds by Sorin Dumitrescu
Discussion Meeting Complex Algebraic Geometry ORGANIZERS: Indranil Biswas, Mahan Mj and A. J. Parameswaran DATE:01 October 2018 to 06 October 2018 VENUE: Madhava Lecture Hall, ICTS, Bangalore The discussion meeting on Complex Algebraic Geometry will be centered around the "Infosys-ICT
From playlist Complex Algebraic Geometry 2018
How do we add matrices. A matrix is an abstract object that exists in its own right, and in this sense, it is similar to a natural number, or a complex number, or even a polynomial. Each element in a matrix has an address by way of the row in which it is and the column in which it is. Y
From playlist Introducing linear algebra
Let's look at some math books:) I tried to pick books which are good and/or famous to some extent. All of these books are pretty good. Some are good for beginners and some are definitely not good for beginners. These are the books on amazon. Linear algebra by Strang https://amzn.to/3tAy
From playlist Book Reviews