Non-associative algebras | Lie algebras
In mathematics, a Malcev algebra (or Maltsev algebra or Moufang–Lie algebra) over a field is a nonassociative algebra that is antisymmetric, so that and satisfies the Malcev identity They were first defined by Anatoly Maltsev (1955). Malcev algebras play a role in the theory of Moufang loops that generalizes the role of Lie algebras in the theory of groups. Namely, just as the tangent space of the identity element of a Lie group forms a Lie algebra, the tangent space of the identity of a smooth Moufang loop forms a Malcev algebra. Moreover, just as a Lie group can be recovered from its Lie algebra under certain supplementary conditions, a smooth Moufang loop can be recovered from its Malcev algebra if certain supplementary conditions hold. For example, this is true for a connected, simply connected real-analytic Moufang loop. (Wikipedia).
Linear Algebra Vignette 1a: Matrix Representation of a Linear Transformation
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From playlist Linear Algebra Vignettes
Linear Algebra Vignette 4b: Fibonacci Numbers As A Matrix Product
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From playlist Linear Algebra Vignettes
Linear Algebra Vignette 4a: Fibonacci Numbers - Review Of The Eigenvalue Decomposition
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From playlist Linear Algebra Vignettes
Linear Algebra Vignette 1b: The Dilation Operator (Has Important Applications)
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From playlist Linear Algebra Vignettes
Linear Algebra Vignette 4c: Fibonacci Numbers - The Derivation Of The Formula
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From playlist Linear Algebra Vignettes
Linear Algebra Vignette 2d: RREF And The Inverse Matrix
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From playlist Linear Algebra Vignettes
Linear Algebra Vignette 2a: RREF - What It's For
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From playlist Linear Algebra Vignettes
Linear Algebra Vignette 3d: Easy Eigenvalues - Linearly Dependent Columns
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From playlist Linear Algebra Vignettes
Linear Algebra Proofs 15a: Eigenvectors with the Same Eigenvalue Form a Linear Space
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From playlist Linear Algebra Proofs
8ECM Invited Lecture: Stuart White
From playlist 8ECM Invited Lectures
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
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
Title: Differential Varieties with Only Algebraic Images
From playlist Fall 2014
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
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
A geometric model for the bounded derived category of a gentle algebra, Sibylle Schroll, Lecture 1
Gentle algebras are quadratic monomial algebras whose representation theory is well understood. In recent years they have played a central role in several different subjects such as in cluster algebras where they occur as Jacobian algebras of quivers with potentials obtained from triangula
From playlist Winter School on “Connections between representation Winter School on “Connections between representation theory and geometry"
Omar León Sánchez, University of Manchester
December 17, Omar León Sánchez, University of Manchester A Poisson basis theorem for symmetric algebras
From playlist Fall 2021 Online Kolchin Seminar in Differential Algebra
Homeschool Algebra - What Every Homeschool Parent Needs to Know
TabletClass Math Homeschool: https://tabletclass.com/ How to homeschool Algebra 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 Algebra
Higher Algebra 10: E_n-Algebras
In this video we introduce E_n-Algebras in arbitrary symmetric monoidal infinity-categories. These interpolate between associated algebras (= E_1) and commutative algebras (= E_infinity). We also establish some categorical properties and investigate the case of the symmetric monoidal infin
From playlist Higher Algebra
Linear Algebra Vignette 3g: Easy Eigenvalues - The Determinant
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From playlist Linear Algebra Vignettes