Lie groups | Representation theory
In mathematics, the Freudenthal magic square (or Freudenthal–Tits magic square) is a construction relating several Lie algebras (and their associated Lie groups). It is named after Hans Freudenthal and Jacques Tits, who developed the idea independently. It associates a Lie algebra to a pair of division algebras A, B. The resulting Lie algebras have Dynkin diagrams according to the table at right. The "magic" of the Freudenthal magic square is that the constructed Lie algebra is symmetric in A and B, despite the original construction not being symmetric, though gives a symmetric construction. The Freudenthal magic square includes all of the exceptional Lie groups apart from G2, and it provides one possible approach to justify the assertion that "the exceptional Lie groups all exist because of the octonions": G2 itself is the automorphism group of the octonions (also, it is in many ways like a classical Lie group because it is the stabilizer of a generic 3-form on a 7-dimensional vector space – see prehomogeneous vector space). (Wikipedia).
Magic Squares part 3: The magic in the mirror.
Time to start to learn how to build even-order magic squares! Playlist:https://youtube.com/playlist?list=PLV_8Ld73yCWEJlCA4LQrioGYgMCn4gN7x Part 1: https://youtu.be/dvkREHaqQWM Part 2: https://youtu.be/-r2VPdxjCqE Part 3: https://youtu.be/seCFxxnid_0 Part 4: https://youtu.be/2h3DHubiROo
From playlist Magic Squares
Bit of Da Vinci Code moment here as Professor Eaves fuses his love of mathematical games and a famous piece of art. More videos at http://www.sixtysymbols.com/
From playlist Magic Squares on Numberphile
The IMPOSSIBLE Sum and Product puzzle! #SoME2
Read all the detail here: https://btm.qva.mybluehost.me/solving-freudenthals-impossible-problem/ Hi YouTube! I'm exploring the world of mathematical animations, and decided I wanted to participate in the 2nd annual Summer of Math Exposition (SoME2). I've been thinking about this puzzle
From playlist Summer of Math Exposition 2 videos
Michael Atiyah, Seminars Geometry and Topology 1/2 [2009]
Seminars on The Geometry and Topology of the Freudenthal Magic Square Date: 9/10/2009 Video taken from: http://video.ust.hk/Watch.aspx?Video=98D80943627E7107
From playlist Mathematics
Chemnitz - Karl-Marx-Stadt - Bilder deutscher Städte (1983)
TV-Dokumentation. Ein CHRONOS Film von 1983, ausgestrahlt in der ARD. Chemnitz, Karl-Marx-Stadt, Sonnenberg, Industriestadt, Jakobi-Kirche, Petri-Kirche, Sachsen, Lokomotive Richard Hartmann, Reinecker, Mai-Kundgebung, Gustav Noske, Volksstimme, Richard Tauber, Carola-Hotel, Gut Heil, Dik
From playlist Bilder deutscher Städte: Chemnitz, Leipzig, Dresden u.w.
Teach Astronomy - A Cosmic Language
http://www.teachastronomy.com/ The issue of what message to send if we want to communicate with extraterrestrial intelligences is a very interesting one. If the message is too simple, it may be understood but will convey little information. If it's too complex, it can carry more informat
From playlist 29. Prospects of Nonhuman Intelligences
Stable Homotopy Seminar, 1: Introduction and Motivation
We describe some features that the category of spectra is expected to have, and some ideas from topology it's expected to generalize. Along the way, we review the Freudenthal suspension theorem, and the definition of a generalized cohomology theory. ~~~~~~~~~~~~~~~~======================
From playlist Stable Homotopy Seminar
Mathematische Spaziergänge in Bonn - und jetzt auch in Siegburg!
Unsere mathematischen Spaziergänge führen Schulklassen der Region an viele verschiedene Orte in Bonn und in Siegburg, an denen sich Mathematik außerhalb des Klassenzimmers betreiben lässt. Mathematik lässt sich erleben und entdecken - überall um uns herum! Mit dem Projekt "Mathematische S
From playlist Hausdorff Center goes public
Stable Homotopy Theory by Samik Basu
PROGRAM DUALITIES IN TOPOLOGY AND ALGEBRA (ONLINE) ORGANIZERS: Samik Basu (ISI Kolkata, India), Anita Naolekar (ISI Bangalore, India) and Rekha Santhanam (IIT Mumbai, India) DATE & TIME: 01 February 2021 to 13 February 2021 VENUE: Online Duality phenomena are ubiquitous in mathematics
From playlist Dualities in Topology and Algebra (Online)
Zum Tag der Mathematik hatte die Bonner Mathematik die Bürger Bonns und der Wissenschaftsregion eingeladen. Hier konnte man erleben, dass Mathematik viel mehr ist als der Schulstoff. Den "Aktionstag Mathematik" am Hausdorff-Zentrum hat uni-bonn.tv besucht. Team: Ole Lentfer / Christian
From playlist Hausdorff Center goes public
Leipzig gestern und heute - Bilder deutscher Städte (1983)
TV-Dokumentation. Ein CHRONOS Film von 1983, ausgestrahlt in der ARD. Leipzig, Architektur, Alte Waage, Handelsstadt, Alte Börse, Alte Handelsbörse, Naschmarkt, Sachsen, Stadtwappen, Löwe, Wettiner, Goethe, Leipziger Student, Johann Sebastian Bach, Thomas Kirche, Kantor, Felix Mendelssohn
From playlist Bilder deutscher Städte: Chemnitz, Leipzig, Dresden u.w.
Die Wiedervereinigung lag erst 1 Jahr hinter uns, da haben wir einen Hubschrauber gemietet und diese Luftaufnahmen von Berlin gemacht. Einfach unglaublich, wie sich die Stadt seitdem verändert hat... Flughafen Schönefeld Ehemaliger Grenzübergang Waltersdorfer Chaussee Flughafen Tempelhof
From playlist Spirit of Berlin - Ein Blick aus der Luft auf die Geschichte Berlins
Stable Homotopy Seminar, 18: The Steenrod Algebra (Liam Keenan)
Liam defines the Steenrod algebra, as the endomorphisms of the Eilenberg-MacLane spectrum HF_p. This naturally acts on the mod p cohomology of any space (or spectrum), and we look at the example of the mod 2 cohomology of RP^infinity. He states some of its fundamental properties allowing u
From playlist Stable Homotopy Seminar
Leopold & Loeb's Perfect Murder Gone Wrong (The Case Of)
⭐️ Get my videos early & ad free (plus my exclusives!) only on Nebula. Save $10 per year! https://legaleagle.link/getnebula ⭐️ When does the punishment fit the crime? When does genius become psychosis? Get CuriosityStream AND Nebula for 30 days free https://curiositystream.com/legalea
From playlist True Crime by LegalEagle!
History of Science and Technology Q&A (June 1, 2022)
Stephen Wolfram hosts a live and unscripted Ask Me Anything about the history of science and technology for all ages. Find the playlist of Q&A's here: https://wolfr.am/youtube-sw-qa Originally livestreamed at: https://twitch.tv/stephen_wolfram If you missed the original livestream of
From playlist Stephen Wolfram Ask Me Anything About Science & Technology
Sierpinski's Triangle and Hausdorff Dimension | Nathan Dalaklis
Dimension is a very intuitive idea in the real world, but what is it actually, in order to get a handle on it we look at Hausdorff dimension and the famous Sierpinski's triangle (or inception triforce :D ) along with scaling properties of sets to find something that lies in between our dis
From playlist The First CHALKboard
Séminaire Bourbaki - 21/06/2014 - 3/4 - Thomas C. HALES
Developments in formal proofs A for mal proof is a proof that can be read and verified by computer, directly from the fundamental rules of logic and the foundational axioms of mathematics. The technology behind for mal proofs has been under development for decades and grew out of efforts i
From playlist Bourbaki - 21 juin 2014
Kaiser, Bürger und Genossen, Teil 1: Der Friede
Geschichte des wilhelminischen Kaiserreichs in zwei Teilen Teil 1 "Der Friede" behandelt Verfassungs-, Wirtschafts-, Sozial-, Technik- und Kulturgeschichte - Image des Kaiserreichs: Militarismus, forsches Auftreten Kaiser Wilhelms II. - Föderalismus und regionale Verschiedenheit der Bund
From playlist Kaiserzeit
Homotopy Group - (1)Dan Licata, (2)Guillaume Brunerie, (3)Peter Lumsdaine
(1)Carnegie Mellon Univ.; Member, School of Math, (2)School of Math., IAS, (3)Dalhousie Univ.; Member, School of Math April 11, 2013 In this general survey talk, we will describe an approach to doing homotopy theory within Univalent Foundations. Whereas classical homotopy theory may be des
From playlist Mathematics