Abstract algebra | Category theory

Subquotient

In the mathematical fields of category theory and abstract algebra, a subquotient is a quotient object of a subobject. Subquotients are particularly important in abelian categories, and in group theory, where they are also known as sections, though this conflicts with a different meaning in category theory. In the literature about sporadic groups wordings like « is involved in » can be found with the apparent meaning of « is a subquotient of ». A quotient of a subrepresentation of a representation (of, say, a group) might be called a subquotient representation; e.g., Harish-Chandra's subquotient theorem. (Wikipedia).

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01b Spatial Data Analytics: Subsurface Data

Lecture of the data available for subsurface modeling.

From playlist Spatial Data Analytics and Modeling

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What is an Injective Function? Definition and Explanation

An explanation to help understand what it means for a function to be injective, also known as one-to-one. The definition of an injection leads us to some important properties of injective functions! Subscribe to see more new math videos! Music: OcularNebula - The Lopez

From playlist Functions

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Definition of a Surjective Function and a Function that is NOT Surjective

We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht

From playlist Injective, Surjective, and Bijective Functions

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Marco Mackaay: Certain subquotients of affine A 2

The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: I will first recall the correspondence between the simple transitive 2-represen- tations of Uq(sl2)-mod, for q an even root of unity, and those of dihedra

From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"

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Prealgebra 1.3a - Subtracting

An introduction to subtraction, the terms and concepts involved, and subtraction as the opposite of addition. Some example problems are carefully worked and explained. From the Prealgebra course by Derek Owens. This course is available online at http://www.LucidEducation.com.

From playlist Prealgebra Chapter 1 (Complete chapter)

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Definition of an Injective Function and Sample Proof

We define what it means for a function to be injective and do a simple proof where we show a specific function is injective. Injective functions are also called one-to-one functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (these are my affil

From playlist Injective, Surjective, and Bijective Functions

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What is a Subsequence?

Subsequence Definition In this video, I define the notion of a subsequence and illustrate with some examples. I also show that if a sequence converges, then any subsequence converges as well Check out my Sequences Playlist: https://www.youtube.com/watch?v=collx3am6II&list=PLJb1qAQIrmmCu

From playlist Sequences

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Oded Yacobi: Cylindrical KLR algebras and slices in the affine Grassmannian

The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: I will give an overview of a program to study quantizations of slices in the affine Grassmannian of a semisimple group G. The slices are interesting Poiss

From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"

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Approximations of groups, subquotients of infinite direct products and equations... - Lev Glebsky

Stability and Testability Topic: Approximations of groups, subquotients of infinite direct products and equations over groups Speaker: Lev Glebsky Affiliation: Universidad Autónoma de San Luis Potosí Date: November 25 2020 For more video please visit http://video.ias.edu Glebsky-2020-11-

From playlist Stability and Testability

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Yann Palu, Research talk - 2 February 2015

Yann Palu (Université de Picardie) - Research talk http://www.crm.sns.it/course/4456/ Motivated by the theory of cluster algebras, Buan-MarshReiten proved that some quotients of cluster categories are module categories. More generally, some subquotients (associated with rigid objects) of

From playlist Lie Theory and Representation Theory - 2015

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Intro to Subsequences | Real Analysis

What are subsequences in real analysis? In today's lesson we'll define subsequences, and see examples and nonexamples of subsequences. We can learn a lot about a sequence by studying its subsequence, so let's talk about it! If (a_n) is a sequence, we can denote a subsequence of (a_n) as (

From playlist Real Analysis

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Towards canonical bases in homology of symplectic resolutions - Roman Bezrukavnikov

Workshop on Representation Theory and Geometry Topic: Towards canonical bases in homology of symplectic resolutions Speaker: Roman Bezrukavnikov Affiliation: Massachusetts Institute of Technology; Member, School of Mathematics Date: March 29, 2021 For more video please visit http://video

From playlist Mathematics

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Gwyn Bellamy: Graded algebras admitting a triangular decomposition

The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: The goal of this talk is to describe the representation theory of finite dimensional graded algebras A admitting a triangular decomposition (in much the s

From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"

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Oliver Schnetz: Graphical hyperlogarithms

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From playlist Workshop: "Amplitudes and Periods"

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Alexander Petrov - Automatic de Rhamness of p-adic local systems and Galois action on the (...)

Given a $p$-adic local system $L$ on a smooth algebraic variety $X$ over a finite extension $K$ of $Q_p$, it is always possible to find a de Rham local system $M$ on $X$ such that the underlying local system $L|_{X_{\overline{K}}}$ embeds into $M|_{X_{\overline{K}}}$. I will outline the pr

From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)

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Ethical Hacking Tutorial | Comprehensive Subdomain Enumeration | Session 08 | #cybersecurity

Don’t forget to subscribe! This ethical hacking tutorial series is about comprehensive subdomain enumeration. Through this tutorial series, I will be demonstrating how to install, configure and use different tools for subdomain enumeration. We will try to go through the following subdom

From playlist Comprehensive Subdomain Enumeration

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01c Spatial Data Analytics: Modeling Goals

A lecture on subsurface modeling goals.

From playlist Spatial Data Analytics and Modeling

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Ken Ribet, Ogg's conjecture for J0(N)

VaNTAGe seminar, May 10, 2022 Licensce: CC-BY-NC-SA Links to some of the papers mentioned in the talk: Mazur: http://www.numdam.org/article/PMIHES_1977__47__33_0.pdf Ogg: https://eudml.org/doc/142069 Stein Thesis: https://wstein.org/thesis/ Stein Book: https://wstein.org/books/modform/s

From playlist Modularity and Serre's conjecture (in memory of Bas Edixhoven)

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Jon Pakianathan (5/7/19): On a canonical construction of tessellated surfaces from finite groups

Title: On a canonical construction of tessellated surfaces from finite groups Abstract: In this talk we will discuss an elementary construction that associates to the non-commutative part of a finite group’s multiplication table, a finite collection of closed, connected, oriented surfaces

From playlist AATRN 2019

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Ethical Hacking Tutorial | Comprehensive Subdomain Enumeration | Session 07 | #cybersecurity

Don’t forget to subscribe! This ethical hacking tutorial series is about comprehensive subdomain enumeration. Through this tutorial series, I will be demonstrating how to install, configure and use different tools for subdomain enumeration. We will try to go through the following subdom

From playlist Comprehensive Subdomain Enumeration

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