Unitary representation theory | Module theory
In group theory, an isotypical, primary or factor representation of a group G is a unitary representation such that any two subrepresentations have equivalent sub-subrepresentations. This is related to the notion of a primary or of a C*-algebra, or to the factor for a von Neumann algebra: the representation of G is isotypical iff is a factor. This term more generally used in the context of semisimple modules. (Wikipedia).
This video defines and gives and example of isomorphic graphs. mathispower4u.com
From playlist Graph Theory (Discrete Math)
What does it mean for two spaces to be isomorphic? In this video, I define the notion of isomorphism of vector spaces, and show that P2 and R3 are isomorphic. Dimension and Isomorphism (sequel): https://www.youtube.com/watch?v=EjiLTke3j7o Check out my Linear Transformations Playlist: ht
From playlist Linear Transformations
23 Algebraic system isomorphism
Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.
From playlist Abstract algebra
Isomorphisms in abstract algebra
In this video I take a look at an example of a homomorphism that is both onto and one-to-one, i.e both surjective and injection, which makes it a bijection. Such a homomorphism is termed an isomorphism. Through the example, I review the construction of Cayley's tables for integers mod 4
From playlist Abstract algebra
Isosceles Triangle: Dynamic Illustrations without Words
GeoGebra Resource Link: https://www.geogebra.org/m/Au4rzFcJ
From playlist Geometry: Dynamic Interactives!
Coding Math: Episode 41 - Isometric 3D Part I
Today we start a new series exploring how to create an isometric 3D world.
From playlist Episodes
OpenGL - 3D rendering overview
Part of a series covering OpenGL. (revision of an earlier video: some restructuring and narration fixes)
From playlist OpenGL
Iva Halacheva: The cactus group, crystals, and perverse equivalences
Suppose C is a category equipped with a categorical action of a (simply-laced) semisimple Lie algebra g. Chuang and Rouquier construct equivalences on its derived category $D^b(C)$ via the so called Rickard complexes, one for each simple root of g. These complexes satisfy the braid relatio
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Yifeng Liu - Derivative of L-functions for unitary groups (2/3)
In this lecture series, we will focus on the recent advance on the Beilinson-Bloch conjecture for unitary Shimura varieties, more precisely, a Gross-Zagier type formula for automorphic forms on unitary groups of higher ranks. We will start from the general theory of height pairings between
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
What are Isomorphic Graphs? | Graph Isomorphism, Graph Theory
How do we formally describe two graphs "having the same structure"? The term for this is "isomorphic". Two graphs that have the same structure are called isomorphic, and we'll define exactly what that means with examples in today's video graph theory lesson! Check out the full Graph Theor
From playlist Graph Theory
How to diagonalize a functor - Benjamin Elias
Members' Seminar Topic: How to diagonalize a functor Speaker: Benjamin Elias Affiliation: University of Oregon; von Neumann Fellow, School of Mathematics Date: October 5, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
Richard Hain - 4/4 Universal mixed elliptic motives
Prof. Richard HAIN (Duke University, Durham, USA) Universal mixed elliptic motives are certain local systems over a modular curve that are endowed with additional structure, such as that of a variation of mixed Hodge structure. They form a tannakian category. The coordinate ring of its fu
From playlist Richard Hain - Universal mixed elliptic motives
The Theta Correspondence Origins, Results, and Ramifications Part II
Professor Roger Howe, Texas A&M University, USA
From playlist Distinguished Visitors Lecture Series
Branimir Cacic, Classical gauge theory on quantum principalbundles
Noncommutative Geometry Seminar (Europe), 20 October 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Group Isomorphisms in Abstract Algebra
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Group Isomorphisms in Abstract Algebra - Definition of a group isomorphism and isomorphic groups - Example of proving a function is an Isomorphism, showing the group of real numbers under addition is isomorphic to the group of posit
From playlist Abstract Algebra
Double covers of tori and the local Langlands correspondence - Tasho Kaletha
Workshop on Representation Theory and Geometry Topic: Double covers of tori and the local Langlands correspondence Speaker: Tasho Kaletha Affiliation: University of Michigan Date: April 02, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Sophie Morel - Shimura Varieties (3/3)
Depending on your point of view, Shimura varieties are a special kind of locally symmetric spaces, a generalization of moduli spaces of abelian schemes with extra structures, or the imperfect characteristic 0 version of moduli spaces of shtuka. They play an important role in the Langlands
From playlist 2022 Summer School on the Langlands program
31. Immunology 2 – Memory, T cells, & Autoimmunity
MIT 7.016 Introductory Biology, Fall 2018 Instructor: Adam Martin View the complete course: https://ocw.mit.edu/7-016F18 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63LmSVIVzy584-ZbjbJ-Y63 Continuing the topic of immunity, Professor Martin talks about how immune cel
From playlist MIT 7.016 Introductory Biology, Fall 2018
Biological Sciences M121. Immunology with Hematology. Lecture 06. Antibody Structure & B-Cells.
UCI BioSci M121: Immunology with Hematology (Fall 2013) Lec 06. Immunology with Hematology -- Antibody Structure & B-Cells -- View the complete course: http://ocw.uci.edu/courses/biosci_m121_immunology_with_hematology.html Instructor: David A. Fruman, Ph.D. License: Creative Commons CC-BY
From playlist Biological Sciences M121: Immunology with Hematology
Visual Group Theory, Lecture 4.1: Homomorphisms and isomorphisms
Visual Group Theory, Lecture 4.1: Homomorphisms and isomorphisms A homomoprhism is function f between groups with the key property that f(ab)=f(a)f(b) holds for all elements, and an isomorphism is a bijective homomorphism. In this lecture, we use examples, Cayley diagrams, and multiplicat
From playlist Visual Group Theory