Spinors | Clifford algebras | Matrices

Higher-dimensional gamma matrices

In mathematical physics, higher-dimensional gamma matrices generalize to arbitrary dimension the four-dimensional Gamma matrices of Dirac, which are a mainstay of relativistic quantum mechanics. They are utilized in relativistically invariant wave equations for fermions (such as spinors) in arbitrary space-time dimensions, notably in string theory and supergravity. The Weyl–Brauer matrices provide an explicit construction of higher-dimensional gamma matrices for Weyl spinors. Gamma matrices also appear in generic settings in Riemannian geometry, particularly when a spin structure can be defined. (Wikipedia).

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Number Theory 1.2 : The Gamma Function

In this video, I introduce the gamma function and show a few properties of it. Email : fematikaqna@gmail.com Code : https://github.com/Fematika/Animations Notes : None yet

From playlist Number Theory

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Why is time slower in rockets?

The third in our gamma trilogy - this time Professor Mike Merrifield goes into the mathematics! Gamma: http://youtu.be/jlJNsRZ4WxI Gamma Reloaded: http://youtu.be/kGsbBw1I0Rg Animations by Drew Mokris. Visit our website at http://www.sixtysymbols.com/ We're on Facebook at http://www.fac

From playlist Relativity

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Time Dilation - Sixty Symbols

The twins paradox, muons and special relativity are among the issues in this video about the symbol gamma, which can represent the Lorentz factor. More symbols discussed at http://www.sixtysymbols.com/

From playlist Gamma Trilogy - Sixty Symbols

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The Gamma Function for Half Integer Values

Help me create more free content! =) https://www.patreon.com/mathable Merch :v - https://teespring.com/de/stores/papaflammy https://www.amazon.com/shop/flammablemaths https://shop.spreadshirt.de/papaflammy Reflection Formula: https://www.youtube.com/wa

From playlist Number Theory

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Elementary Matrices

This video defines elementary matrices and then provides several examples of determining if a given matrix is an elementary matrix. Site: http://mathispower4u.com Blog: http://mathispower4u.wordpress.com

From playlist Augmented Matrices

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Relativity's key concept: Lorentz gamma

Einstein’s theory of special relativity is one of the most counterintuitive ideas in physics, for instance, moving clocks record time differently than stationary ones. Central to all of the equations of relativity is the Lorentz factor, also known as gamma. In this video, Fermilab’s Dr. D

From playlist Relativity

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Linear Algebra for Computer Scientists. 12. Introducing the Matrix

This computer science video is one of a series of lessons about linear algebra for computer scientists. This video introduces the concept of a matrix. A matrix is a rectangular or square, two dimensional array of numbers, symbols, or expressions. A matrix is also classed a second order

From playlist Linear Algebra for Computer Scientists

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Ian Agol, Lecture 2: Finiteness of Arithmetic Hyperbolic Reflection Groups

24th Workshop in Geometric Topology, Calvin College, June 29, 2007

From playlist Ian Agol: 24th Workshop in Geometric Topology

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Gamma Matrices in Action #2 | How to do Calculations with Gamma Matrices

In this video, we show you how to use Dirac’s gamma matrices to do calculations in relativistic #QuantumMechanics! If you want to read more about the gamma matrices, we can recommend the book „An Introduction to Quantum Field Theory“ by Michael Peskin and Daniel Schroeder, especially cha

From playlist Dirac Equation

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Abelian networks and sandpile models (Lecture 4) by Lionel Levine

PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the

From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019

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Lattices, Hecke Operators, and the Well-Rounded Retract - Mark McConnell

Mark McConnell Center for Communications Research, Princeton University March 7, 2012 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Recent Progress on Zimmer's Conjecture - David Fisher

Members' Seminar Topic: Recent Progress on Zimmer's Conjecture Speaker: David Fisher Affiliation: Indiana University, Bloomington; Member, School of Mathematics Date: December 3, 2018 For more video please visit http://video.ias.edu

From playlist Mathematics

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The Abel lectures: Hillel Furstenberg and Gregory Margulis

0:30 Welcome by Hans Petter Graver, President of the Norwegian Academy of Science Letters 01:37 Introduction by Hans Munthe-Kaas, Chair of the Abel Prize Committee 04:16 Hillel Furstenberg: Random walks in non-euclidean space and the Poisson boundary of a group 58:40 Questions and answers

From playlist Gregory Margulis

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Groups with bounded generation: old and new - Andrei S. Rapinchuk

Joint IAS/Princeton University Number Theory Seminar Topic: Groups with bounded generation: old and new Speaker: Andrei S. Rapinchuk Date: May 06, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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Fractionalized fermionic quantum criticality by Lukas Janssen

PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In

From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)

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Thin monodromy and Lyapunov exponents, via Hodge theory - Simion Filip

Analysis Seminar Topic: Thin monodromy and Lyapunov exponents, via Hodge theory Speaker: Simion Filip Affiliation: Harvard University Date: November 15, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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First-order rigidity, bi-interpretability, and congruence subgroups - Nir Avni

Arithmetic Groups Topic: First-order rigidity, bi-interpretability, and congruence subgroups Speaker: Nir Avni Affiliation: Northwestern University Date: October 13, 2021 I'll describe a method for analyzing the first-order theory of an arithmetic group using its congruence quotients. W

From playlist Mathematics

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Computations in the topology of locally symmetric spaces -Mark McConnell

Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: Computations in the topology of locally symmetric spaces Speaker: Mark McConnell Affiliation: Princeton University Date: November 8, 2017 For more videos, please visit http://video.ias.edu

From playlist Mathematics

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Visualization of tensors - part 1

This video visualizes tensors. It shows some introduction to tensor theory and demonstrates it with the Cauchy stress tensor. Future parts of this series will show more theory and more examples. It talks about the term 'tensor' as used in physics and math. In the field of AI the term 'te

From playlist Animated Physics Simulations

Related pages

Clifford algebra | C-symmetry | Group representation | Pauli matrices | Weyl–Brauer matrices | Automorphism | Free group | Lorentz group | Group (mathematics) | Spin representation | Identity matrix | Quaternion | Bispinor | Spinor | Regular p-group | Chirality | T-symmetry | Riemannian geometry | Transposition (mathematics) | Matrix similarity | Spin structure | Gamma matrices | Representation theory of the Lorentz group | Clifford module | P-group | Powerful p-group | Involution (mathematics) | Pauli group | Dimensional regularization | Commutator subgroup | Bott periodicity theorem | Center (group theory) | Inner automorphism