Group actions (mathematics) | Algebraic topology

Crossed module

In mathematics, and especially in homotopy theory, a crossed module consists of groups G and H, where G acts on H by automorphisms (which we will write on the left, , and a homomorphism of groups that is equivariant with respect to the conjugation action of G on itself: and also satisfies the so-called : (Wikipedia).

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Vector cross product

The vector cross-product is another form of vector multiplication and results in another vector. In this tutorial I show you a simple way of calculating the cross product of two vectors.

From playlist Introducing linear algebra

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Ex 2: Properties of Cross Products - Cross Product of a Sum and Difference

This video explains how to find the cross product of a sum and difference of two vectors. Site: http://mathispower4u.com

From playlist Vectors in Space (3D)

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11Q The Cross Product

The vector cross product.

From playlist Linear Algebra

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11O The Cross Product

The vector cross product.

From playlist Linear Algebra

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Multivariable Calculus: Cross Product

In this video we explore how to compute the cross product of two vectors using determinants.

From playlist Multivariable Calculus

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Cross product of vectors

What is the cross product of two vectors? How is it useful? Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/Ii3hPtwksX

From playlist Introduction to Vectors

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11R The Cross Product

The vector cross product.

From playlist Linear Algebra

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11M The Cross Product

The vector cross product

From playlist Linear Algebra

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A06 The equations of motion

A mathematics bonus. In this lecture I remind you of a way to calculate the cross product of two vector using the determinant of a matrix along the first row of unit vectors.

From playlist Physics ONE

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Lecture 26. Tensor products

0:00 1:32 Notation for tensor products 3:20 Defining tensor product via universal property 5:35 Proof of uniqueness 11:55 Construction of tensor products by generators and relations 17:30 Theorem: the construction satisfies the universal property 20:45 Proof of the theorem 32:24 Tensors a

From playlist Abstract Algebra 2

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Lecture 27. Properties of tensor products

0:00 Use properties of tensor products to effectively think about them! 0:50 Tensor product is symmetric 1:17 Tensor product is associative 1:42 Tensor product is additive 21:40 Corollaries 24:03 Generators in a tensor product 25:30 Tensor product of f.g. modules is itself f.g. 32:05 Tenso

From playlist Abstract Algebra 2

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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

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Building Cross Platform PowerShell Modules by Adam Driscoll

Building Cross Platform PowerShell Modules by Adam Driscoll This session will be a deep dive into the steps necessary to develop, package and distribute a cross platform binary PowerShell module that runs on Windows PowerShell and PowerShell Core.

From playlist PowerShell + DevOps Global Summit 2018

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Building Cross Platform PowerShell Modules by Adam Driscoll

This session will be a deep dive into the steps necessary to develop, package and distribute a cross platform binary PowerShell module that runs on Windows PowerShell and PowerShell Core.

From playlist PowerShell + DevOps Global Summit 2018

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An introduction to group (and Galois) cohomology (part 1)

This is part 1 of an introduction to group (and Galois) cohomology, with a particular emphasis on the applications to the cohomology of fields, and elliptic curves.

From playlist An Introduction to the Arithmetic of Elliptic Curves

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DEFCON 16: Grendel-Scan: A new web application scanning tool

Speakers: David Byrne, Security Consultant, Trustwave Eric Duprey, Senior Security Engineer, Dish Network While commercial web application scanners have been available for quite a while, the selection of open source tools has been limited. Grendel-Scan is a new tool that aims to provide

From playlist DEFCON 16

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Eugene Gorsky - Algebra and Geometry of Link Homology 1/5

Khovanov and Rozansky defined a link homology theory which categorifies the HOMFLY-PT polynomial. This homology is relatively easy to define, but notoriously hard to compute. I will discuss recent breakthroughs in understanding and computing Khovanov-Rozansky homology, focusing on connecti

From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory

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Cross product differentiation example

Free ebook http://tinyurl.com/EngMathYT How to differentiate a cross product of vector valued functions of one variable.

From playlist Engineering Mathematics

Related pages

Group ring | Fundamental group | Module (mathematics) | Fibration | Group extension | Normal subgroup | Mathematics | Classifying space | Algebraic K-theory | Homotopy theory | Automorphism | Category theory | 2-group | Homomorphism | Inner automorphism | Group (mathematics)