In the mathematical field of Lie theory, a Dynkin diagram, named for Eugene Dynkin, is a type of graph with some edges doubled or tripled (drawn as a double or triple line). Dynkin diagrams arise in the classification of semisimple Lie algebras over algebraically closed fields, in the classification of Weyl groups and other finite reflection groups, and in other contexts. Various properties of the Dynkin diagram (such as whether it contains multiple edges, or its symmetries) correspond to important features of the associated Lie algebra. The term "Dynkin diagram" can be ambiguous. In some cases, Dynkin diagrams are assumed to be directed, in which case they correspond to root systems and semi-simple Lie algebras, while in other cases they are assumed to be undirected, in which case they correspond to Weyl groups. In this article, "Dynkin diagram" means directed Dynkin diagram, and undirected Dynkin diagrams will be explicitly so named. (Wikipedia).
Calculus 3: Tensors (3 of 28) What is a Dyad? A Graphical Representation
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the physical graphical representation of a tensor of rank 2, or a dyad. A tensor of rank 2 has 9 components, which means there will be 3 vectors each representing a force or stress or somethin
From playlist CALCULUS 3 CH 10 TENSORS
Cotangent Graph Interpretation: Dynamic Illustration (Desmos)
Desmos Link: https://www.desmos.com/calculator/bmundg4zk5
From playlist Desmos Activities, Illustrations, and How-To's
Isosceles Triangle Theorem: Dynanic Desmos Illustrator
Isosceles triangle theorem animation & explorer made in #Desmos. https://teacher.desmos.com/activitybuilder/custom/60742b18afd8ae0d274b6efb #MTBoS #ITeachMath #math
From playlist Desmos Activities, Illustrations, and How-To's
Cosine Graph Interpretation: Dynamic Illustration (Desmos)
Desmos Link: https://www.desmos.com/calculator/wx4es0ltkv
From playlist Desmos Activities, Illustrations, and How-To's
DesmosLIVE: An Exploration of Desmos + Mathalicious
Kate Nowak of Mathalicious explores a few Mathalicious lessons with Desmos
From playlist Desmos LIVE
Calculus 3: Tensors (4 of 28) The Dyad: 3 Vectors Define "Stress" at the 3 Planes
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain a dyad, a tensor of rank 2, by drawing 3 vectors, each on the surface of a cube representing a piece of a beam. Next video in the series can be seen at: https://youtu.be/EgMpMKXZ4lo
From playlist CALCULUS 3 CH 10 TENSORS
Giovanni Cerulli-Irelli : Quiver Grassmannians of Dynkin type
Abstract: Given a finite-dimensional representation M of a Dynkin quiver Q (which is the orientation of a simply-laced Dynkin diagram) we attach to it the variety of its subrepresentations. This variety is strati ed according to the possible dimension vectors of the subresentations of M. E
From playlist Algebra
The Sign of the Components of the Derivative of a Vector Function From a Graph
This video explains how to determine the sign of the components of the derivative of a vector function give the graph of a vector function. http://mathispower4u.com
From playlist Vector Valued Functions
This video explains how to determine a unit vector given a vector. It also explains how to determine the component form of a vector in standard position that intersects the unit circle. http://mathispower4u.yolasite.com/
From playlist Vectors
Ex: Find the Difference of Two Vectors Given in Linear Combination Form
This video explains how to find the difference of two vectors given as linear combinations of unit vectors. Site: http://mathispower4u.com
From playlist Vectors in 2D
Instantons and Monopoles (Lecture 1) by Sergey Cherkis
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Scattering Amplitudes and Clusterhedra in Kinematic Space (Lecture 1) by Nima Arkani Hamed
RECENT DEVELOPMENTS IN S-MATRIX THEORY (ONLINE) ORGANIZERS: Alok Laddha, Song He and Yu-tin Huang DATE: 20 July 2020 to 31 July 2020 VENUE:Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through online lectures
From playlist Recent Developments in S-matrix Theory (Online)
Philip Boalch - Nonabelian Hodge spaces and nonlinear representation theory
Abstract: The theory of connections on curves and Hitchin systems is something like a “global theory of Lie groups”, where one works over a Riemann surface rather than just at a point. We’ll describe how one can take this analogy a few steps further by attempting to make precise the class
From playlist Algebraic Analysis in honor of Masaki Kashiwara's 70th birthday
The Graceful Tree Conjecture | Famous Math Problems 4 | NJ Wildberger
The Graceful Tree Conjecture, or Ringel-Kotzig conjecture, concerns certain labellings of the vertices of a graph G introduced by A. Rosa in 1967. We introduce some basic terminology of graph theory, give examples of graceful and non-graceful graphs, and discuss evidence for the conjecture
From playlist Famous Math Problems
The Campbell-Baker-Hausdorff and Dynkin formula and its finite nature
In this video explain, implement and numerically validate all the nice formulas popping up from math behind the theorem of Campbell, Baker, Hausdorff and Dynkin, usually a.k.a. Baker-Campbell-Hausdorff formula. Here's the TeX and python code: https://gist.github.com/Nikolaj-K/8e9a345e4c932
From playlist Algebra
Introduction to cluster algebras and their types (Lecture 2) by Jacob Matherne
PROGRAM :SCHOOL ON CLUSTER ALGEBRAS ORGANIZERS :Ashish Gupta and Ashish K Srivastava DATE :08 December 2018 to 22 December 2018 VENUE :Madhava Lecture Hall, ICTS Bangalore In 2000, S. Fomin and A. Zelevinsky introduced Cluster Algebras as abstractions of a combinatoro-algebra
From playlist School on Cluster Algebras 2018
The Proof of the Burger-Sarnak Conjecture - Laurent Clozel
Laurent Clozel University of Paris-Sud/Member, School of Mathematics March 21, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Topics In Noncommutative Algebra and Exponential Growth
In this video I talk about the Book "Topics in Noncommutative Algebra - The Theorems of Campell, Baker, Hausdorff and Dynkin" by Andrea Bonfilio and Roberta Fulci. I tease some of my motivation with the topic by starting out ranting about differential equation and exponential growth, su
From playlist Algebra
Physics 2 - Motion In One-Dimension (7 of 22) Definition of dx/dt
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the definition of dx/dt.
From playlist PHYSICS - MECHANICS
Sira Gratz: Noncrossing partitions and thick subcategories
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: Ingalls and Thomas have shown that the lattice of non-crossing partitions of a regular polygon with n+1 vertices is isomorphic to the lattice of thick sub
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"