Supersymmetry | Super linear algebra | Hopf algebras

Supergroup (physics)

The concept of supergroup is a generalization of that of group. In other words, every supergroup carries a natural group structure, but there may be more than one way to structure a given group as a supergroup. A supergroup is like a Lie group in that there is a well defined notion of smooth function defined on them. However the functions may have even and odd parts. Moreover, a supergroup has a super Lie algebra which plays a role similar to that of a Lie algebra for Lie groups in that they determine most of the representation theory and which is the starting point for classification. (Wikipedia).

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What is Supersymmetry?

In this video, Fermilab's Dr. Don Lincoln describes the principle of supersymmetry in an easy-to-understand way. A theory is supersymmetric if it treats forces and matter on an equal footing. While supersymmetry is an unproven idea, it is popular with particle physics researchers as a po

From playlist Speculative Physics

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Waves 2_13 Superposition of Waves and Interference

The principle of superposition of waves and interference.

From playlist Physics - Waves

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Physics 40 Resistivity and Resistance (19 of 33) What is Super Conductivity?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is super conductivity.

From playlist PHYSICS 40 RESISTIVITY AND RESISTANCE

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Are physicists trying to combine quantum mechanics and general relativity?

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From playlist Science Unplugged: Physics

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Extreme Single Particle Model

An extension of the single particle model considering the consequence of pairing of nuclei and whether the nuclear characteristics are dependent on the lone unpaired nucleon.

From playlist Nuclear Physics

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Why Supersymmetry?

Fermilab's Dr. Don Lincoln explains some of the reasons that physicists are so interested in supersymmetry. Supersymmetry can explain the low mass of the Higgs boson, provide a source of dark matter, and make it more likely that the known subatomic forces are really different facets of a

From playlist Speculative Physics

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The nature of superposition. Mach-Zehnder interferometer

MIT 8.04 Quantum Physics I, Spring 2016 View the complete course: http://ocw.mit.edu/8-04S16 Instructor: Barton Zwiebach License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 8.04 Quantum Physics I, Spring 2016

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Is there any evidence that supersymmetry exists, or is it purely theoretical?

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From playlist Science Unplugged: Supersymmetry

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Inna Entova-Aizenbud: Jacobson-Morozov Lemma for Lie superalgebras using semisimplification

I will present a generalization of the Jacobson-Morozov Lemma for quasi-reductive algebraic supergroups (respectively, Lie superalgebras), based on the idea of semisimplification of tensor categories, which will be explained during the talk. This is a joint project with V. Serganova.

From playlist Workshop: Monoidal and 2-categories in representation theory and categorification

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Vera Serganova: Capelli eigenvalue problem for Lie superalgebras and supersymetric polynominals

Abstract: We study invariant differential operators on representations of supergroups associated with simple Jordan superalgebras, in the classical case this problem goes back to Kostant. Eigenvalues of Capelli differential operators give interesting families of polynomials such as super J

From playlist Mathematical Physics

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Science Bulletins: The Rise of Oxygen

Follow geologists as they hunt for, pickaxe, and test rock samples from the 2.5 billion year old Huronian Supergroup, a sedimentary formation in Ontario, Canada. The scientists are in search of an exact record of how much oxygen gas Earth's developing atmosphere contained at key moments in

From playlist Science Bulletins

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K-Pop Supergroup SuperM Q+A | PETERSEN CAR WEEK DAY 2 EP.6

Welcome to Petersen Car Week presented by @Michelin! Over the course of the next 4 days (August 12th -15th) enjoy a compilation of automotive content that represents car culture from around the world. @SuperM , a South Korean musical supergroup, shares a fun Q+A from across the Pacific. Le

From playlist Petersen Car Week Presented by Michelin | Day 2

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Tudor Dimofte - 3d SUSY Gauge Theory and Quantum Groups at Roots of Unity

Topological twists of 3d N=4 gauge theories naturally give rise to non-semisimple 3d TQFT's. In mathematics, prototypical examples of the latter were constructed in the 90's (by Lyubashenko and others) from representation categories of small quantum groups at roots of unity; they were rece

From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory

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From classical to quantum integrability, and back - Vladimir Kazakov

Vladimir Kazakov École normale supérieure March 25, 2014 Hirota relations in their various incarnations play an important role in both classical and quantum integrable systems, from matrix integrals and PDE's to one-dimensional quantum spin chains and two dimensional quantum field theories

From playlist Mathematics

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Thorsten Heidersdorf: On fusion rules for supergroups

I will report on some recent progress to understand the indecomposable summands in tensor products of irreducible representations of an algebraic supergroup. I will focus on the $GL(m|n)$ and $OSp(m|2n)$-case.

From playlist Workshop: Monoidal and 2-categories in representation theory and categorification

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Representations of finite groups and applications - Pham Tiep

Pham Tiep Harvard University and University of Arizona November 6, 2014 In the first part of the talk we will survey some recent results on representations of finite (simple) groups. In the second part we will discuss applications of these results to various problems in number theory and

From playlist Mathematics

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If supersymmetry is correct, what would that mean for nature's fundamental particles?

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From playlist Science Unplugged: Supersymmetry

Related pages

Poincaré group | Supermanifold | Hopf algebra | Lie group | Scheme (mathematics) | Conformal group | Universal enveloping algebra | Lie superalgebra | Superspace | Super-Poincaré algebra | Group object | Lie algebra | Comodule | Category theory | Module (mathematics) | Group (mathematics)