The Inverse Image of the Complement is the Complement of the Inverse Image Proof
The Inverse Image of the Complement is the Complement of the Inverse Image Proof If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:
From playlist Functions, Sets, and Relations
RT4.1. Constructions from Linear Algebra (Expanded)
Representation Theory: We apply techniques from linear algebra to construct new representations from old ones. Constructions include direct sums, dual spaces, tensor products, and Hom spaces. Course materials, including problem sets and solutions, available at http://mathdoctorbob.org/U
From playlist Representation Theory
Representations of Finite Groups | Definitions and simple examples.
We define the notion of a representation of a group on a finite dimensional complex vector space. We also explore one and two dimensional representations of the cyclic group Zn. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.mich
From playlist Representations of Finite Groups
RT1: Representation Theory Basics
Representation Theory: We present basic concepts about the representation theory of finite groups. Representations are defined, as are notions of invariant subspace, irreducibility and full reducibility. For a general finite group G, we suggest an analogue to the finite abelian case, whe
From playlist *** The Good Stuff ***
RT3. Equivalence and Examples (Expanded)
Representation Theory: We define equivalence of representations and give examples of irreducible representations for groups of low order. Then we use the commutator subgroup to characterize all one dimensional representations of G (characters) in terms of the abelianization of G. Course
From playlist Representation Theory
RT6. Representations on Function Spaces
Representation Theory: We note how to transfer a group action of a group G on a set X to a group action on F(X), the functions on X. Because F(X) is a vector space, we obtain a representation of the group, and we can apply previous techniques. In particular, the group acts on itself in
From playlist Representation Theory
Representation theory: Introduction
This lecture is an introduction to representation theory of finite groups. We define linear and permutation representations, and give some examples for the icosahedral group. We then discuss the problem of writing a representation as a sum of smaller ones, which leads to the concept of irr
From playlist Representation theory
Math 060 102317 Matrix Representations of Linear Transformations III
Review of the construction of the matrix representation of a linear transformation with respect to bases. Review: matrix representation of a linear transformation between Euclidean spaces with respect to bases (not necessarily the standard bases). Example.
From playlist Course 4: Linear Algebra (Fall 2017)
Math 060 101817C Matrix Transformations of Linear Transformations
Recall: If linear transformations agree on a basis, then they are equal. Recall: To each matrix A corresponds a linear transformation (left-multiplication by A). Theorem: Every linear transformation between Euclidean spaces corresponds to left-multiplication by some matrix. Example. Ex
From playlist Course 4: Linear Algebra (Fall 2017)
Parallel session 10 by Darren Long
Geometry Topology and Dynamics in Negative Curvature URL: https://www.icts.res.in/program/gtdnc DATES: Monday 02 Aug, 2010 - Saturday 07 Aug, 2010 VENUE : Raman Research Institute, Bangalore DESCRIPTION: This is An ICM Satellite Conference. The conference intends to bring together ma
From playlist Geometry Topology and Dynamics in Negative Curvature
Hyperbolic surfaces and their Teichmüller spaces (Lecture - 02) by Subhojoy Gupta
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Pierre Emmanuel Caprace - Groups with irreducibly unfaithful subsets for unitary representations
A subset F of a group G is called irreducibly faithful if G has an irreducible unitary representation whose kernel does not contain any non-trivial element of F. We say that G has property P(n) if every subset of size at most n is irreducibly faithful. By a classical result o
From playlist Groupes, géométrie et analyse : conférence en l'honneur des 60 ans d'Alain Valette
Geometric structures and thin groups II - Darren Long
Speaker: Darren Long (UCSB) Title: Geometric structures and thin groups II Abstract: In these two talks we will discuss situations in which geometric input can be used as a method to certify that a group is thin. This involves a mix of theory and computation.
From playlist Mathematics
Modular Perverse Sheaves on the affine Flag Variety - Laura Rider
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: Modular Perverse Sheaves on the affine Flag Variety Speaker: Laura Rider Affiliation: University of Georgia Date: November 16, 2020 For more video please visit http://video.ias.edu
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
Eugen Hellmann: On the derived category of the Iwahori-Hecke algebra
SMRI Algebra and Geometry Online 'On the derived category of the Iwahori-Hecke algebra' Eugen Hellmann (University of Münster) Abstract: In this talk I will state a conjecture which predicts that the derived category of smooth representations of a p-adic split reductive group admits a ful
From playlist SMRI Algebra and Geometry Online
The Derived Geometric Satake Equivalence of Bezrukavnikov and Finkelberg - Jize Yu
Geometric and Modular Representation Theory Seminar Topic: The Derived Geometric Satake Equivalence of Bezrukavnikov and Finkelberg Speaker: Jize Yu Affiliation: Member, School of Mathematics Date: November 4, 2020 For more video please visit http://video.ias.edu
From playlist Seminar on Geometric and Modular Representation Theory
Stephan Tillmann: On the space of properly convex projective structures
SMRI Seminar: Stephan Tillmann (University of Sydney) This talk will be in two parts. I will outline joint work with Daryl Cooper concerning the space of holonomies of properly convex real projective structures on manifolds whose fundamental group satisfies a few natural properties. This
From playlist SMRI Seminars
Hyperbolic surfaces and their Teichmüller spaces (Lecture – 03) by Subhojoy Gupta
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Inna Entova-Aizenbud: Jacobson-Morozov Lemma for Lie superalgebras using semisimplification
I will present a generalization of the Jacobson-Morozov Lemma for quasi-reductive algebraic supergroups (respectively, Lie superalgebras), based on the idea of semisimplification of tensor categories, which will be explained during the talk. This is a joint project with V. Serganova.
From playlist Workshop: Monoidal and 2-categories in representation theory and categorification
Representations of Finite Groups | A few more common examples.
We present a few more common examples of representations of finite groups. These include cyclic groups, dihedral groups, the quaternions, and the symmetric group. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Personal Website: http://www.michael-penn.net R
From playlist Representations of Finite Groups