Algebraic combinatorics | Representation theory
In group theory, restriction forms a representation of a subgroup using a known representation of the whole group. Restriction is a fundamental construction in representation theory of groups. Often the restricted representation is simpler to understand. Rules for decomposing the restriction of an irreducible representation into irreducible representations of the subgroup are called branching rules, and have important applications in physics. For example, in case of explicit symmetry breaking, the symmetry group of the problem is reduced from the whole group to one of its subgroups. In quantum mechanics, this reduction in symmetry appears as a splitting of degenerate energy levels into multiplets, as in the Stark or Zeeman effect. The induced representation is a related operation that forms a representation of the whole group from a representation of a subgroup. The relation between restriction and induction is described by Frobenius reciprocity and the Mackey theorem. Restriction to a normal subgroup behaves particularly well and is often called Clifford theory after the theorem of A. H. Clifford. Restriction can be generalized to other group homomorphisms and to other rings. For any group G, its subgroup H, and a linear representation ρ of G, the restriction of ρ to H, denoted is a representation of H on the same vector space by the same operators: (Wikipedia).
Creating Surfaces with Domain Restrictions to Model within GeoGebra Augmented Reality
This screencast quickly illustrates how restricting the domain of a multivariable function within GeoGebra Augmented Reality can effectively help model a particular 3D surface. (The equations of the 2 surfaces used can be found at the bottom of the screen.) To restrict the domain of any
From playlist GeoGebra Augmented Reality (older iOS app)
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From playlist Microsoft Excel
Geogebra - Restricting a Slider
In this video we restrict aspects of the GeoGebra applet to help students discover an answer on their own
From playlist Geogebra
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From playlist Job Interviews
More videos like this online at http://www.theurbanpenguin.com If like me you have better things to be doing than crreate and populate groups all day in the Ad see how we can speed the process up using PowerShell from the command line in Windows. I have no problems with Active Directory Us
From playlist Windows
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From playlist The Internet
Dipendra Prasad - Branching laws: homological aspects
By this time in the summer school, the audience will have seen the question about decomposing a representation of a group when restricted to a subgroup which is referred to as the branching law. In this lecture, we focus attention on homological aspects of the branching law. The lecture
From playlist 2022 Summer School on the Langlands program
Open Source vs. Closed Source Software
In this video, you’ll learn more about the differences between open-source software and closed-source software. Visit https://edu.gcfglobal.org/en/basic-computer-skills/ for more technology, software, and computer tips. We hope you enjoy!
From playlist Technology Trends
Automorphy: Deformations of Galois Representations (continued) - David Geraghty
David Geraghty Princeton University; Institute for Advanced Study March 3, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Branching laws: homological aspects - Dipendra Prasad
Joint IAS/Princeton University Number Theory Seminar Topic: Branching laws: homological aspects Speaker: Dipendra Prasad Affiliation: Indian Institute of Technology Date: May 19, 2022 This lecture will partly survey branching laws for real and p-adic groups which often is related to peri
From playlist Mathematics
Automorphy: Automorphy Lifting Theorems I - David Geraghty
David Geraghty Princeton University; Institute for Advanced Study March 3, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Modularity of Galois Representations - Christopher Skinner
Automorphic Forms Christopher Skinner April 4, 2001 Concepts, Techniques, Applications and Influence April 4, 2001 - April 7, 2001 Support for this conference was provided by the National Science Foundation Conference Page: https://www.math.ias.edu/conf-automorphicforms Conference Ag
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Stefan Schwede: Equivariant stable homotopy - Lecture 3
I will use the orthogonal spectrum model to introduce the tensor triangulated category of genuine G-spectra, for compact Lie groups G. I will explain structural properties such as the smash product of G-spectra, and functors relating the categories for varying G (fixed points, geometric fi
From playlist Summer School: Spectral methods in algebra, geometry, and topology
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David Geraghty Princeton University; Member, School of Mathematics March 17, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Automorphy: Deformations of Galois Representations - David Geraghty
David Geraghty Institute for Advanced Study February 24, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Florian Herzig: On de Rham lifts of local Galois representations
Find 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, bibliographies,
From playlist Algebraic and Complex Geometry
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From playlist More
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