Lie groups | Lie algebras | Outlines of mathematics and logic

List of Lie groups topics

This is a list of Lie group topics, by Wikipedia page. (Wikipedia).

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Lie groups: Introduction

This lecture is part of an online graduate course on Lie groups. We give an introductory survey of Lie groups theory by describing some examples of Lie groups in low dimensions. Some recommended books: Lie algebras and Lie groups by Serre (anything by Serre is well worth reading) Repre

From playlist Lie groups

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Lie Groups and Lie Algebras: Lesson 16 - representations, connectedness, definition of Lie Group

Lie Groups and Lie Algebras: Lesson 16 - representations, connectedness, definition of Lie Group We cover a few concepts in this lecture: 1) we introduce the idea of a matrix representation using our super-simple example of a continuous group, 2) we discuss "connectedness" and explain tha

From playlist Lie Groups and Lie Algebras

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Lie Groups and Lie Algebras: Lesson 3 - Classical Groups Part I

Lie Groups and Lie Algebras: Lesson 3 - Classical Groups Part I We introduce the idea of the classical matrix groups and their associated carrier spaces. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX

From playlist Lie Groups and Lie Algebras

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Lie groups: Lie groups and Lie algebras

This lecture is part of an online graduate course on Lie groups. We discuss the relation between Lie groups and Lie algebras, and give several examples showing how they behave differently. Lie algebras turn out to correspond more closely to the simply connected Lie groups. We then explain

From playlist Lie groups

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Lie Groups and Lie Algebras: Lesson 13 - Continuous Groups defined

Lie Groups and Lie Algebras: Lesson 13 - Continuous Groups defined In this lecture we define a "continuous groups" and show the connection between the algebraic properties of a group with topological properties. Please consider supporting this channel via Patreon: https://www.patreon.co

From playlist Lie Groups and Lie Algebras

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Simple groups, Lie groups, and the search for symmetry II | Math History | NJ Wildberger

This is the second video in this lecture on simple groups, Lie groups and manifestations of symmetry. During the 19th century, the role of groups shifted from its origin in number theory and the theory of equations to its role in describing symmetry in geometry. In this video we talk abou

From playlist MathHistory: A course in the History of Mathematics

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Lie groups: Lie algebras

This lecture is part of an online graduate course on Lie groups. We define the Lie algebra of a Lie group in two ways, and show that it satisfied the Jacobi identity. The we calculate the Lie algebras of a few Lie groups. For the other lectures in the course see https://www.youtube.co

From playlist Lie groups

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Lie groups: Positive characteristic is weird

This lecture is part of an online graduate course on Lie groups. We give several examples to show that, over fields of positive characteristic, Lie algebras can behave strangely, and have a weaker connection to Lie groups. In particular the Lie algebra does not generate the ring of all in

From playlist Lie groups

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Simple groups, Lie groups, and the search for symmetry I | Math History | NJ Wildberger

During the 19th century, group theory shifted from its origins in number theory and the theory of equations to describing symmetry in geometry. In this video we talk about the history of the search for simple groups, the role of symmetry in tesselations, both Euclidean, spherical and hyper

From playlist MathHistory: A course in the History of Mathematics

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On the pioneering works of Professor I.B.S. Passi by Sugandha Maheshwari

PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund

From playlist Group Algebras, Representations And Computation

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6 Mindsets That Make People Attracted To You Immediately

6 Mindsets That Will Make You Magnetic (Animated) Discover The 4 Emotions You Need To Make a Killer First Impression: http://bit.ly/2sGNRnQ Subscribe to Charisma On Command’s YouTube Account: http://bit.ly/COC-Subscribe Check out After Skool: https://www.youtube.com/channel/UC1KmNKYC1l

From playlist Top Charisma on Command Videos

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6 Mindsets That Instantly Make You More Attractive

Link to tip to master your emotions: https://goo.gl/7G2Go2 6 Mindsets That Will Make You Magnetic When it comes to charisma, you can learn a lot of surface level stuff. Body language, eye contact, tonality, all of these things can be tweaked to make you appear more confident, charismat

From playlist How To Be Confident

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Simple grps 1 by N. S. Narasimha Sastry

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

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Mumford-Tate Groups and Domains - Phillip Griffiths

Phillip Griffiths Professor Emeritus, School of Mathematics March 28, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Lie Groups and Lie Algebras: Lesson 38 - Preparation for the concept of a Universal Covering Group

Lie Groups and Lie Algebras: Lesson 38 - Preparation for the Universal Covering Group concept In this lesson we examine another amazing connection between the algebraic properties of the Lie groups with topological properties. We will lay the foundation to understand how discrete invaria

From playlist Lie Groups and Lie Algebras

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Averages from Frequency Tables (Estimated Mean, Median) - GCSE Maths Exam Questions

GCSE Averages from Frequency Tables maths exam question practice taken from past papers and practice papers. This video is suitable for both Foundation and Higher tier. Keywords: Average, mean, estimated mean, median, mode, range, frequency table, sum of frequencies Help revise for the 8

From playlist GCSE Maths Exam Question Compilations

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Representation theory and geometry – Geordie Williamson – ICM2018

Plenary Lecture 17 Representation theory and geometry Geordie Williamson Abstract: One of the most fundamental questions in representation theory asks for a description of the simple representations. I will give an introduction to this problem with an emphasis on the representation theor

From playlist Plenary Lectures

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Minerva Lectures 2013 - Terence Tao Talk 1: Sets with few ordinary lines

For more information please visit: http://math.princeton.edu/events/seminars/minerva-lectures/minerva-lecture-i-sets-few-ordinary-lines

From playlist Minerva Lecture Terence Tao

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Lie Groups and Lie Algebras: Lesson 42 Group Theory Review #1

Lie Groups and Lie Algebras: Lesson 42 Group Theory Review #1\ In order to push on with Lie Group Theory, it is reasonable to do a good review of group theory itself. This is the first lecture of such a review. A link to the Group Explorer: https://nathancarter.github.io/group-explorer/

From playlist Lie Groups and Lie Algebras

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LieGroups and Lie Algebras: Lesson 1 - Prerequisites

LieGroups and Lie Algebras: Lesson 1 - Prerequisites We begin a new project! Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discussing the material on the forums: https://www.patreon.com/XYLYXYLYX What is General Relativity?

From playlist Lie Groups and Lie Algebras

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Lie algebroid | G2 (mathematics) | ADE classification | Special unitary group | Lattice (group) | Maximal torus | Complex Lie group | Modular form | Invariant theory | Root system | Frieze group | General linear group | Hyperbolic motion | Kirillov character formula | Weyl group | Lie algebra | E6 (mathematics) | Special linear group | Homogeneous space | Anyon | Semisimple Lie algebra | Heisenberg group | Weyl character formula | Witt algebra | Maurer–Cartan form | Unitary group | Noether's theorem | Twistor theory | SO(8) | Space group | Formal group law | Fuchsian group | Kac–Moody algebra | Kleinian group | Supergroup (physics) | Symplectic group | Darboux derivative | Loop algebra | Lie superalgebra | Unitary representation | Poincaré group | Affine group | Commutator | Lie group | Pauli matrices | Weight (representation theory) | E7 (mathematics) | Cartan's criterion | Simple Lie group | Discrete group | Borel subgroup | One-parameter group | Special functions | Table of Lie groups | SL2(R) | Infinitesimal transformation | Congruence subgroup | Wallpaper group | Lie derivative | Langlands program | E8 (mathematics) | Hermann Weyl | Euclidean group | Algebraic group | Arithmetic group | Clifford–Klein form | Graded Lie algebra | Jacobi identity | Lie's third theorem | Modular group | Dynkin diagram | Gell-Mann matrices | F4 (mathematics) | Matrix exponential | Lattice (discrete subgroup) | Affine Lie algebra | Lorentz group | Élie Cartan | Representation of a Lie group | Hilbert's fifth problem | Peter–Weyl theorem | Hyperbolic geometry | Poisson bracket | Virasoro algebra | Representation theory of SL2(R) | Dunkl operator | Real form (Lie theory) | Complexification (Lie group) | Representation theory of SU(2) | Principal homogeneous space | Lie groupoid | Orthogonal group | Wigner's classification | Universal enveloping algebra | Killing form