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
Proof: Uniqueness of the Tensor Product
Universal property introduction: https://youtu.be/vZzZhdLC_YQ This video proves the uniqueness of the tensor product of vector spaces (or modules over a commutative ring). This uses the universal property of the tensor product to prove the existence of an isomorphism (linear bijection) be
From playlist Tensor Products
A Concrete Introduction to Tensor Products
The tensor product of vector spaces (or modules over a ring) can be difficult to understand at first because it's not obvious how calculations can be done with the elements of a tensor product. In this video we give an explanation of an explicit construction of the tensor product and work
From playlist Tensor Products
Complete Derivation: Universal Property of the Tensor Product
Previous tensor product video: https://youtu.be/KnSZBjnd_74 The universal property of the tensor product is one of the most important tools for handling tensor products. It gives us a way to define functions on the tensor product using bilinear maps. However, the statement of the universa
From playlist Tensor Products
The TRUTH about TENSORS, Part 4: The Multiverse
In this video, I sketch the details of the proof that tensor products are commutative and associative. I then define multi-linear maps, which are essential for future videos. Commutativity: (0:00) Associativity: (5:40) Multi-linearity: (15:18)
From playlist The TRUTH about TENSORS
Multivariable Calculus | The dot product.
We present the definition of the dot product as well as a geometric interpretation and some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
Cross Product and Dot Product: Visual explanation
Visual interpretation of the cross product and the dot product of two vectors. My Patreon page: https://www.patreon.com/EugeneK
From playlist Physics
What is a Tensor? Lesson 11: The metric tensor
What is a Tensor 11: The Metric Tensor
From playlist What is a Tensor?
Calculus 3: Tensors (13 of 45) What is the Inertia Tensor?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the inertia tensor relating the physical inertia activity and the tensor component notation. Next video in the series can be seen at: https://youtu.be/-chgCHuEI4Y
From playlist CALCULUS 3 CH 10 TENSORS
Modular Representations of GL_n and Tensor Products of Galois Representations by Christophe Breuil
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last ye
From playlist Recent Developments Around P-adic Modular Forms (Online)
Modular Representation Theory: Week One
Semester One, 2023 course organised by SMRI Director Geordie Williamson and University of Sydney PhD student Chris Hone.
From playlist Modular Representation Theory
8ECM Invited Lecture: Stuart White
From playlist 8ECM Invited Lectures
Nigel Higson: Parabolic induction
The lecture was held within the framework of Follow-up Workshop TP Rigidity. 30.4.2015
From playlist HIM Lectures 2015
Representation Theory & Combinatorics of the Symmetry Group & Related Structures II -Monica Vazirani
2021 Women and Mathematics - Terng Course Lecture Topic: Representation Theory & Combinatorics of the Symmetry Group and Related Structures II Speaker: Monica Vazirani Affiliation: University of California, Davis Date: May 25, 2021 With an eye toward coordinating with the advanced course
From playlist Mathematics
Thorsten Heidersdorf: On fusion rules for supergroups
I will report on some recent progress to understand the indecomposable summands in tensor products of irreducible representations of an algebraic supergroup. I will focus on the $GL(m|n)$ and $OSp(m|2n)$-case.
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Richard Taylor Harvard University; Distinguished Visiting Professor, School of Mathematics March 17, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
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”
Representations of quantum groups at roots of 1 - Jize Yu
Quantum Groups Seminar Topic: Representations of quantum groups at roots of 1 Speaker: Jize Yu Affiliation: Member, School of Mathematics Date: April 08, 2021 For more video please visit http://video.ias.edu
From playlist Quantum Groups Seminar
What is a Tensor 6: Tensor Product Spaces
What is a Tensor 6: Tensor Product Spaces There is an error at 15:00 which is annotated but annotations can not be seen on mobile devices. It is a somewhat obvious error! Can you spot it? :)
From playlist What is a Tensor?
Ranks of Tensors - Guy Moshkovitz
Workshop on Additive Combinatorics and Algebraic Connections Topic: Ranks of Tensors Speaker: Guy Moshkovitz Affiliation: Baruch College Date: October 25, 2022 Several equivalent definitions of rank for matrices yield non-equivalent definitions of rank when generalized to higher order t
From playlist Mathematics