Sporadic groups | Non-associative algebras

Griess algebra

In mathematics, the Griess algebra is a commutative non-associative algebra on a real vector space of dimension 196884 that has the Monster group M as its automorphism group. It is named after mathematician R. L. Griess, who constructed it in 1980 and subsequently used it in 1982 to construct M. The Monster fixes (vectorwise) a 1-space in this algebra and acts absolutely irreducibly on the 196883-dimensional orthogonal complement of this 1-space.(The Monster preserves the standard inner product on the 196884-space.) Griess's construction was later simplified by Jacques Tits and John H. Conway. The Griess algebra is the same as the degree 2 piece of the monster vertex algebra, and the Griess product is one of the vertex algebra products. (Wikipedia).

Video thumbnail

Simple grps 2 by N. S. Narasimha Sastry

DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra

From playlist Group Theory and Computational Methods

Video thumbnail

Quiz: Composition of Functions (Graph & Table)

Link: https://www.geogebra.org/m/QgN7nwCh

From playlist Algebra 1: Dynamic Interactives!

Video thumbnail

The Lie-algebra of Quaternion algebras and their Lie-subalgebras

In this video we discuss the Lie-algebras of general quaternion algebras over general fields, especially as the Lie-algebra is naturally given for 2x2 representations. The video follows a longer video I previously did on quaternions, but this time I focus on the Lie-algebra operation. I st

From playlist Algebra

Video thumbnail

Geometric Algebra - Rotors and Quaternions

In this video, we will take note of the even subalgebra of G(3), see that it is isomorphic to the quaternions and, in particular, the set of rotors, themselves in the even subalgebra, correspond to the set of unit quaternions. This brings the entire subject of quaternions under the heading

From playlist Math

Video thumbnail

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

Video thumbnail

What Dinosaurs ACTUALLY Looked Like?

The 12,022 Calendar is sold out check out more scienc-y products created with love here: https://kgs.link/shop-151 Sources & further reading: https://sites.google.com/view/sources-mysteries-of-the-past/ The past is a vast and mysterious land that begins at the big bang and ends in the pr

From playlist Medicine & Biology

Video thumbnail

You Are Immune Against Every Disease

Order IMMUNE here: https://kgs.link/ImmuneBook – It’s available in English and German and at online retailers it should be available in pretty much all countries too. Sources & further reading: https://sites.google.com/view/sources-immune2/ You are not a person, you are a planet, made of

From playlist Medicine & Biology

Video thumbnail

Algebra - Ch. 4: Exponents & Scientific Notation (1 of 35) What is an Exponent?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is an exponent. A number or symbol placed above another number or symbol that indicates the power the number or symbol at the bottom is raised. The number at the bottom is called the base

From playlist ALGEBRA CH 4 EXPONENTS AND SCIENTIFIC NOTATION

Video thumbnail

Group theory, abstraction, and the 196,883-dimensional monster

An introduction to group theory (Minor error corrections below) Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: https://3b1b.co/monster-thanks Timestamps: 0:00 -

From playlist Explainers

Video thumbnail

Using Clocks to Solve Fractions String 1

Using a clock model and the patterns in a fraction string to make sense of unfriendly fractions

From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents

Video thumbnail

Using Clocks to Solve Fractions String 8

A fun string dealing with subtraction that leads to sixths and twelfths

From playlist Arithmetic and Pre-Algebra: Fractions, Decimals and Percents

Video thumbnail

Algebra 2 2.01a - What is a Function

What is a function? The concept of a function is explained through the use of a specific example of Pressure versus Depth, and the idea of a dependent and an independent variable is discussed. This is the first video in Chapter 2 of the Algebra 2 course by Derek Owens. More info about t

From playlist Algebra 2 Chapter 2: Functions (Selected videos)

Video thumbnail

Solving a SLE in 3 Variables with Row Operations 1

Linear Algebra: We solve a system of three linear equations in three variables using row operations. In this Part, we give a procedure for row reduction and give an example using coefficients of 0 and 1.

From playlist MathDoctorBob: Linear Algebra I: From Linear Equations to Eigenspaces | CosmoLearning.org Mathematics

Video thumbnail

FIT2.3.3. Algebraic Extensions

Field Theory: We define an algebraic extension of a field F and show that successive algebraic extensions are also algebraic. This gives a useful criterion for checking algberaic elements. We finish with algebraic closures.

From playlist Abstract Algebra

Video thumbnail

Kristin Courtney: "The abstract approach to classifying C*-algebras"

Actions of Tensor Categories on C*-algebras 2021 Mini Course: "The abstract approach to classifying C*-algebras" Kristin Courtney - Westfälische Wilhelms-Universität Münster Institute for Pure and Applied Mathematics, UCLA January 21, 2021 For more information: https://www.ipam.ucla.edu

From playlist Actions of Tensor Categories on C*-algebras 2021

Video thumbnail

Rahim Moosa 11/14/14

Title: Differential Varieties with Only Algebraic Images

From playlist Fall 2014

Video thumbnail

Homeschool Algebra 2 - What Every Homeschool Parent Needs to Know

TabletClass Math Homeschool: https://tabletclass.com/ How to homeschool Algebra 2 successfully. Need help with homeschooling Pre-Algebra, Algebra 1, Geometry, Algebra 2 and Pre-Calculus? Check out TabletClass Math for all your homeschooling needs: https://tabletclass.com/ .

From playlist Homeschool Math

Video thumbnail

Homeschool Geometry Before Algebra 2

TabletClass Math: https://tabletclass.com/ This video explains why you should homeschool geometry before algebra 2.

From playlist Homeschool Math

Related pages

Monster group | Monster vertex algebra | Automorphism group | Dimension | Vector space | Mathematics | Algebra over a field | Real number | Orthogonal complement