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?
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
MAST30026 Lecture 20: Hilbert space (Part 2)
I continued with the basic theory of inner product spaces and Hilbert spaces, by defining orthogonal complements and proving that every closed vector subspace of a Hilbert space gives rise to a direct sum decomposition of the Hilbert space. Then we proved the Riesz representation theorem,
From playlist MAST30026 Metric and Hilbert spaces
What is a Tensor? Lesson 11: The metric tensor
What is a Tensor 11: The Metric Tensor
From playlist What is a Tensor?
What is a Tensor 5: Tensor Products
What is a Tensor 5: Tensor Products Errata: At 22:00 I write down "T_00 e^0 @ e^1" and the correct expression is "T_00 e^0 @ e^0"
From playlist What is a Tensor?
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
Classifies operators on the exterior algebra in terms of creation and annihilation operators, and develops the basics of entanglement in Hilbert spaces. This video is a recording made in a virtual world (https://www.roblox.com/games/6461013759/metauni-Locus-LC001) of a talking board, and
From playlist Metauni
Jens Kaad: Exterior products of compact quantum metric spaces
Talk by Jens Kaad in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on November 24, 2020.
From playlist Global Noncommutative Geometry Seminar (Europe)
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)
Francesca Arici: SU(2)-symmetries and exact sequences of C*-algebras through subproduct systems
Talk by Francesca Arici in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on November 17, 2020.
From playlist Global Noncommutative Geometry Seminar (Europe)
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
PiTP 2015 - "Introduction to Topological and Conformal Field Theory (1 of 2)" - Robbert Dijkgraaf
https://pitp2015.ias.edu/
From playlist 2015 Prospects in Theoretical Physics Program
Robert Wald - The Memory Effect and Infrared Divergences - IPAM at UCLA
Recorded 27 October 2021. Robert Wald of the University of Chicago presents "The Memory Effect and Infrared Divergences" at IPAM's Workshop II: Mathematical and Numerical Aspects of Gravitation. Abstract: The "memory effect" is the permanent relative displacement of test particles after th
From playlist Workshop: Mathematical and Numerical Aspects of Gravitation
Noah Arbesfeld: A geometric R-matrix for the Hilbert scheme of points on a general surface
Abstract: We explain how to use a Virasoro algebra to construct a solution to the Yang-Baxter equation acting in the tensor square of the cohomology of the Hilbert scheme of points on a generalsurface S. In the special case where the surface S is C2, the construction appears in work of Mau
From playlist Algebraic and Complex Geometry
Foundations of QM: Introduction Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discussing the material on the forums: https://www.patreon.com/XYLYXYLYX
From playlist Mathematical Foundations of Quantum Mechanics
Summing Over Bordisms In 2d TQFT - Greg Moore
Black Holes and Qubits Meeting Topic: Summing Over Bordisms In 2d TQFT Speaker: Greg Moore Affiliation: Rutgers University Date: March 24, 2022 Some recent work in the quantum gravity literature has considered what happens when the amplitudes of a TQFT are summed over the bordisms betwee
From playlist Natural Sciences
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
Workshop 1 "Operator Algebras and Quantum Information Theory" - CEB T3 2017 - Reinhard F. Werner
Reinhard F. Werner (Hannover) / 12.09.17 Title: Alice and Bob and von Neumann Abstract: Alice and Bob stand for the separated labs scenario, a standard setting for many quantum informational tasks, where two labs are not connected by quantum interactions, but are capable of arbitrary loc
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Commutative algebra 20 Tensor products review
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. In this lecture we review the definition of the tensor product of R-modules. We calculate the tensor products in the cases of
From playlist Commutative algebra