Symmetric functions | Invariant theory | Algebras
In mathematics, the Hall algebra is an associative algebra with a basis corresponding to isomorphism classes of finite abelian p-groups. It was first discussed by but forgotten until it was rediscovered by Philip Hall, both of whom published no more than brief summaries of their work. The Hall polynomials are the structure constants of the Hall algebra. The Hall algebra plays an important role in the theory of Masaki Kashiwara and George Lusztig regarding canonical bases in quantum groups. generalized Hall algebras to more general categories, such as the category of representations of a quiver. (Wikipedia).
From playlist College Algebra
Group Definition (expanded) - Abstract Algebra
The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to contin
From playlist Abstract Algebra
As part of the college algebra series, this Center of Math video will teach you the basics of functions, including how they're written and what they do.
From playlist Basics: College 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
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
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: 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
What is Abstract Algebra? (Modern Algebra)
Abstract Algebra is very different than the algebra most people study in high school. This math subject focuses on abstract structures with names like groups, rings, fields and modules. These structures have applications in many areas of mathematics, and are being used more and more in t
From playlist Abstract Algebra
Matt SZCZESNY - Toric Hall Algebras and infinite-dimentional Lie algebras
The process of counting extensions in categories yields an associative (and sometimes Hopf) algebra called a Hall algebra. Applied to the category of Feynman graphs, this process recovers the Connes-Kreimer Hopf algebra. Other examples abound, yielding various combinatorial Hopf algebras.
From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday
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
Markus Reineke - Cohomological Hall Algebras and Motivic Invariants for Quivers 4/4
We motivate, define and study Donaldson-Thomas invariants and Cohomological Hall algebras associated to quivers, relate them to the geometry of moduli spaces of quiver representations and (in special cases) to Gromov-Witten invariants, and discuss the algebraic structure of Cohomological H
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
Kelvin circulation theorem, dynamic metric and the fractional quantum Hall effect by Dam Thanh Son
DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental
From playlist Novel Phases of Quantum Matter 2019
Algebra Preview: Study Hall: ASU + Crash Course
Welcome to Study Hall: Algebra! In this new 15 episode Learning Playlist, James Tanton will guide us through solving equations and understanding how math works with our very human brains. Presented by Arizona State University and Crash Course, Study Hall is a tailored series of YouTube L
From playlist Channel favorites
Polynomials and Imaginary Numbers: Study Hall Algebra #8: ASU + Crash Course
Polynomials are incredibly useful — not just for mathematicians, but for anyone trying to model something complicated, like the weather. But there can be so much to keep track of when we're multiplying them, and dividing them can seem impossible. In this episode of Study Hall: Algebra we'l
From playlist Study Hall: Algebra
PiTP 2015 - "Quantum Geometry in the Fractional Quantum Hall Effect" - Duncan Haldane
https://pitp2015.ias.edu/
From playlist 2015 Prospects in Theoretical Physics Program
MagLab Theory Winter School 2018: Duncan Haldane - Bipartite Entanglement II
The National MagLab held it's sixth Theory Winter School in Tallahassee, FL from January 8th - 13th, 2018.
From playlist 2018 Theory Winter School
Zero to Infinity: Study Hall Algebra #15: ASU + Crash Course
We've covered a lot in 15 episodes and we've mentioned, more than once, that dividing by zero is math chaos! But, why do we say that? Why can't we divide by zero? In this, our final episode of Study Hall: Algebra, James will try and explain why zero is a tricky number and how its use has e
From playlist Study Hall: Algebra
Negative Numbers and Arithmetic: Study Hall: Algebra #3: ASU + Crash Course
We don’t really know where math began, but counting seems like a pretty reasonable start. But, it's natural for us to count up, so where did negative numbers come from? How did they become such a major part of math? In this episode of Study Hall: Algebra, James walks us through a bit of hi
From playlist Study Hall: Algebra
Irrational Numbers: Study Hall Algebra #5: ASU + Crash Course
Irrational numbers sound unnatural, but they can actually be found all around us in the simplest shapes. Circles, squares and cubes contain irrational numbers. But... how do irrational numbers work? And, more importantly, how do we work with them? That's the topic of discussion today in St
From playlist Study Hall: Algebra
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