Algebras

Normed algebra

In mathematics, a normed algebra A is an algebra over a field which has a sub-multiplicative norm: Some authors require it to have a multiplicative identity 1A such that ║1A║ = 1. (Wikipedia).

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11D The Norm of a Vector

The norm or length of a vector.

From playlist Linear Algebra

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11C The Norm of a Vector

The normal or length of a vector.

From playlist Linear Algebra

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13C Norm and Distance in Euclidean n Space

Norm and distance in Euclidean n-Space.

From playlist Linear Algebra

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13B Vectors in n Space

Euclidean n Space. Norm and distance in n space.

From playlist Linear Algebra

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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

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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

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What is linear algebra?

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

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Abstract Algebra | Normal Subgroups

We give the definition of a normal subgroup and give some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

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Dan-Virgil Voiculescu: Around the Quasicentral Modulus

Talk by Dan-Virgil Voiculescu in Global Noncommutative Geometry Seminar (Americas) https://globalncgseminar.org/talks/tba-9/ on March 26, 2021.

From playlist Global Noncommutative Geometry Seminar (Americas)

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Gilles Pisier - Propriétés de relèvement pour les 𝐶^∗-algèbres : du local au global ?

The main problem we will consider is whether the local lifting property (LLP) of a $C^*$-algebra implies the (global) lifting property (LP). Kirchberg showed that this holds if the Connes embedding problem has a positive solution, but it might hold even if its solution is negative. We will

From playlist Annual meeting “Arbre de Noël du GDR Géométrie non-commutative”

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Galois theory: Norm and trace

This lecture is part of an online graduate course on Galois theory. We define the norm and trace of a finite extension of fields. We give some examples of calculating the image of the norm map, and show how to use the norm and trace to find rings of algebraic integers.

From playlist Galois theory

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Lazaro Recht: Metric geometry in homogeneous spaces of the unitary group of a C* -algebra. 2

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 Algebraic and Complex Geometry

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The Green - TAO Theorem (Lecture 5) by Gyan Prakash

Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod

From playlist Workshop on Additive Combinatorics 2020

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The Green - Tao Theorem (Lecture 3) by Gyan Prakash

Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod

From playlist Workshop on Additive Combinatorics 2020

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Lie Groups and Lie Algebras: Lesson 2 - Quaternions

This video is about Lie Groups and Lie Algebras: Lesson 2 - Quaternions We study the algebraic nature of quaternions and cover the ideas of an algebra and a field. Later we will discover how quaternions fit into the description of the classical Lie Groups. NOTE: An astute viewer noted th

From playlist Lie Groups and Lie Algebras

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​Donald Cartwright : ​Construction of lattices defining fake projective planes - lecture 2

Recording during the meeting "Ball Quotient Surfaces and Lattices " the February 25, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma

From playlist Algebraic and Complex Geometry

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Maria Ines de Frutos Fernandez - Formalizing Norm Extensions and Applications to Number Theory

Recorded 16 February 2023. Maria Ines de Frutos Fernandez of Imperial College London presents "Formalizing Norm Extensions and Applications to Number Theory" at IPAM's Machine Assisted Proofs Workshop. Abstract: Let K be a eld complete with respect to a nonarchimedean real-valued norm, and

From playlist 2023 Machine Assisted Proofs Workshop

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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

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Kristin Courtney: C*-structure on images of completely positive order zero maps

Talk by Kristin Courtney in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on September 16, 2020.

From playlist Global Noncommutative Geometry Seminar (Americas)

Related pages

Norm (mathematics) | Hurwitz's theorem (composition algebras) | Division algebra | Algebra over a field | Gelfand–Mazur theorem | Banach algebra | Composition algebra