In mathematics, loop algebras are certain types of Lie algebras, of particular interest in theoretical physics. (Wikipedia).
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: 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
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: Prove the Sherman-Morrison formula for computing a matrix inverse
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
Determining if a vector is a linear combination of other vectors
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determining if a vector is a linear combination of other vectors
From playlist Linear Algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions and their representations through matrices and vector spaces. Linear algebra is central to almost all areas of mathematics. Topic covered: Vectors: Basic vectors notation, adding, scaling (0:0
From playlist Linear Algebra
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
Abstract Algebra | What is a ring?
We give the definition of a ring and present some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Linear algebra for Quantum Mechanics
Linear algebra is the branch of mathematics concerning linear equations such as. linear functions and their representations in vector spaces and through matrices. In this video you will learn about #linear #algebra that is used frequently in quantum #mechanics or #quantum #physics. ****
From playlist Quantum Physics
String topology coproduct: geometric and algebraic aspects - Manuel Rivera
Princeton/IAS Symplectic Geometry Seminar Topic: String topology coproduct: geometric and algebraic aspects Speaker: Manuel Rivera Affiliation: University of Miami Date: May 11, 2017 For more info, please visit http://video.ias.edu
From playlist Mathematics
Winter School JTP: Introduction to A-infinity structures, Bernhard Keller, Lecture 1
In this minicourse, we will present basic results on A-infinity algebras, their modules and their derived categories. We will start with two motivating problems from representation theory. Then we will briefly present the topological origin of A-infinity structures. We will then define and
From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"
Lecture 8: Bökstedt Periodicity
In this video, we give a proof of Bökstedts fundamental result showing that THH of F_p is polynomial in a degree 2 class. This will rely on unlocking its relation to the dual Steenrod algebra and the fundamental fact, that the latter is free as an E_2-Algebra. Feel free to post comments a
From playlist Topological Cyclic Homology
A Relative Calabi-Yau Structure for Legendrian Contact Homology - Georgios Dimitroglou Rizell
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar 9:15am|Remote Access Topic: A Relative Calabi-Yau Structure for Legendrian Contact Homology Speaker: Georgios Dimitroglou Rizell Affiliation: Uppsala University Date: March 31, 2023 The duality long exact sequence re
From playlist Mathematics
Nezhla Aghaei - Combinatorial Quantisation of Supergroup Chern-Simons Theory
Chern-Simons Theories with gauge super-groups appear naturally in string theory and they possess interesting applications in mathematics, e.g. for the construction of knot and link invariants. In my talk, I will review the framework of combinatorial quantization of Chern Simons theory and
From playlist Workshop on Quantum Geometry
Planar N = 4 at High Loops and Large Multiplicity by Andrew McLeod
PROGRAM 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
From playlist Recent Developments in S-matrix Theory (Online)
Intro to the Fundamental Group // Algebraic Topology with @TomRocksMaths
In this video I teach the amazing @TomRocksMaths a little bit of algebraic topology, specifically the fundamental group. Tom also taught me some really cool fluid dynamics and you can find our collab over at his channel here: ►►► https://www.youtube.com/watch?v=bpeCfwY4qa0&ab_channel=TomR
From playlist Collaborations
Little disks operads and Feynman diagrams – Thomas Willwacher – ICM2018
Mathematical Physics | Topology Invited Lecture 11.3 | 6.5 Little disks operads and Feynman diagrams Thomas Willwacher Abstract: The little disks operads are classical objects in algebraic topology which have seen a wide range of applications in the past. For example they appear prominen
From playlist Mathematical Physics
Floer theory revisited - Mohammed Abouzaid
Princeton/IAS Symplectic Geometry Seminar Topic: Floer theory revisited Speaker: Mohammed Abouzaid Date: Thursday, February 4 Time/Room: 10:30am - 11:45am/S-101 I will describe a formalism for (Lagrangian) Floer theory wherein the output is not a deformation of the cohomology ring, but of
From playlist Mathematics
Linear Algebra 8p: The Relationship Between the Column Space and the Null Space
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 1 Linear Algebra: An In-Depth Introduction with a Focus on Applications
Galois theory: Algebraic closure
This lecture is part of an online graduate course on Galois theory. We define the algebraic closure of a field as a sort of splitting field of all polynomials, and check that it is algebraically closed. We hen give a topological proof that the field C of complex numbers is algebraically
From playlist Galois theory