Representation theory | Group theory
In group theory, a branch of abstract algebra, a character table is a two-dimensional table whose rows correspond to irreducible representations, and whose columns correspond to conjugacy classes of group elements. The entries consist of characters, the traces of the matrices representing group elements of the column's class in the given row's group representation. In chemistry, crystallography, and spectroscopy, character tables of point groups are used to classify e.g. molecular vibrations according to their symmetry, and to predict whether a transition between two states is forbidden for symmetry reasons. Many university level textbooks on physical chemistry, quantum chemistry, spectroscopy and inorganic chemistry devote a chapter to the use of symmetry group character tables. (Wikipedia).
Character Tables for S4 and A4
Representation Theory of Finite Groups: We build the character tables for S4 and A4 from scratch. As an application, we use irreducible characters to decompose a tensor product.
From playlist Representation Theory
Represent a Discrete Function Using Ordered Pairs, a Table, and Function Notation
This video explains how to represent a discrete function given as points as ordered pairs, a table, and using function notation. http://mathispower4u.com
From playlist Introduction to Functions: Function Basics
A Simple Programming Language - (part 13 of 13)
An introduction to programming with a reductively simple programming language. Part of a larger series teaching programming. Visit http://codeschool.org Please link to the playlist (http://www.youtube.com/playlist?list=PL2F1485C69B311408) rather than this video as individual videos may g
From playlist A Simple Programming Language
Character Tables for S5 and A5
Representation Theory of Finite Groups: We compute the character tables of S5, the symmetric group on 5 letters, and A5, the subgroup of even permutations. We note that A5 is isomorphic to the group of rigid motions of an icosahedron.
From playlist Representation Theory
Ex: Function Values of a Function of Two Variables Using a Table
This video provides an example of how to evaluate a function of two variables using a table of values. Site: http://mathispower4u.com
From playlist Functions of Several Variables
Table Of Ordered Pairs: Substitution | Algebra | Maths | FuseSchool
In this video we’re going to look at how to use substitution in equations to generate a table of ordered pairs. Ordered pairs (coordinates) can be used to solve equations, to plot graphs, and so we come across them a lot in Maths. You should already know how to substitute into equations,
From playlist MATHS
Application: ASCII! C tutorial 1.1
Using the previous lesson to print a table of ASCII values
From playlist C Tutorial
"Understand power notation and calculate simple powers, e.g. squares, cubes."
From playlist Number: Powers, Roots & Laws of Indices
Ex: Evaluate a Function and Solve for a Function Value Given a Table
The video explains how to determine a function value and solve for x given a function value when the function is given as a table. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com
From playlist Determining Function Values
Chemistry 107. Inorganic Chemistry. Lecture 04
UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 04. Inorganic Chemistry -- Character Tables and One Application of Symmetry View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Matthew D. Law License: Creative Commons CC-BY-SA Terms of Use:
From playlist Chem 107: Week 2
Representation Theory(Repn Th) 1 by Gerhard Hiss
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
Representation Theory(Repn Th) 2 by Gerhard Hiss
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
The S3 character table - a (somewhat) new meaning | Diffusion Symmetry 2 | N J Wildberger
With diffusion symmetry, we explore mathematical objects or physical systems by spreading or diffusing from an initial point. The algebraic objects that result are hypergroups, or fusion algebra, or one of many similar and almost equivalent systems found in combinatorics, group theory, num
From playlist Diffusion Symmetry: A bridge between mathematics and physics
New Local Properties in the Character Table by Gabriel Navarro
DATE & TIME 05 November 2016 to 14 November 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Computational techniques are of great help in dealing with substantial, otherwise intractable examples, possibly leading to further structural insights and the detection of patterns in many abstra
From playlist Group Theory and Computational Methods
!!Con 2018: Tales of ⌧! Can You Tell Your Story When Your Character Is Undefined?! by Persa Zula
Tales of ⌧! Can You Tell Your Story When Your Character Is Undefined?! by Persa Zula You just got a text message from your friend, and it contains three emojis and a box with an X in it: 🍴🌙 ⌧. Is that an emoji, too? What were they trying to say? Are they currently eating dinner under the
From playlist !!Con 2018
Google Coding Interview Question and Answer #1: First Recurring Character
Find the first recurring character in the given string! A variation of this problem: find the first NON-recurring character. This variation problem and many others are covered in my Udemy course, 11 Essential Coding Interview Questions: https://www.udemy.com/11-essential-coding-interview-
From playlist Coding Interview Questions and Answers
Molecular Structure & Statistical Mechanics 131B. Lecture 03. Transformation Matrices.
UCI Chem 131B Molecular Structure & Statistical Mechanics (Winter 2013) Lec 03. Molecular Structure & Statistical Mechanics -- Transformation Matrices. View the complete course: http://ocw.uci.edu/courses/chem_131b_molecular_structure_and_elementary_statistical_mechanics.html Instructor: R
From playlist Chem 131B: Molecular Structure & Statistical Mechanics
CS105: Introduction to Computers | 2021 | Lecture 1.4 BB&B: Represent Hieroglyphs on a Computer
Patrick Young Computer Science, PhD This course is a survey of Internet technology and the basics of computer hardware. You will learn what computers are and how they work and gain practical experience in the development of websites and an introduction to programming. To follow along wi
From playlist Stanford CS105 - Introduction to Computers Full Course
Representation theory: Orthogonality relations
This lecture is about the orthogonality relations of the character table of complex representations of a finite group. We show that these representations are unitary and deduce that they are all sums of irreducible representations. We then prove Schur's lemma describing the dimension of t
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