Super linear algebra | Algebras
In mathematics and theoretical physics, a superalgebra is a Z2-graded algebra. That is, it is an algebra over a commutative ring or field with a decomposition into "even" and "odd" pieces and a multiplication operator that respects the grading. The prefix super- comes from the theory of supersymmetry in theoretical physics. Superalgebras and their representations, supermodules, provide an algebraic framework for formulating supersymmetry. The study of such objects is sometimes called super linear algebra. Superalgebras also play an important role in related field of supergeometry where they enter into the definitions of graded manifolds, supermanifolds and . (Wikipedia).
The Universe is always surprising us with how little we know about... the Universe. It's continuously presenting us with stuff we never imagined, or even thought possible. The search for extrasolar planets is a great example. Since we started, astronomers have turned up over a thousand
From playlist Planets and Moons
Serganova, Vera, Lecture V - 3 February 2015
Vera Serganova (University of California, Berkeley) - Lecture V http://www.crm.sns.it/course/4034/ The goal of this minicourse is to review recent results in representation theory of finite-dimensional Lie superalgebras. Lecture 1 Finite-dimensional Lie superalgebras: classification, exam
From playlist Lie Theory and Representation Theory - 2015
Serganova, Vera, Lecture IV - 28 January 2015
Vera Serganova (University of California, Berkeley) - Lecture IV http://www.crm.sns.it/course/4034/ The goal of this minicourse is to review recent results in representation theory of finite-dimensional Lie superalgebras. Lecture 1 Finite-dimensional Lie superalgebras: classification, exa
From playlist Lie Theory and Representation Theory - 2015
Serganova, Vera, Lecture III - 26 January 2015
Vera Serganova (University of California, Berkeley) - Lecture III http://www.crm.sns.it/course/4034/ The goal of this minicourse is to review recent results in representation theory of finite-dimensional Lie superalgebras. Lecture 1 Finite-dimensional Lie superalgebras: classification, ex
From playlist Lie Theory and Representation Theory - 2015
Vera Serganova, Lecture I - 20 January 2015
Vera Serganova (University of California, Berkeley) - Lecture I http://www.crm.sns.it/course/4034/ The goal of this minicourse is to review recent results in representation theory of finite-dimensional Lie superalgebras. Lecture 1 Finite-dimensional Lie superalgebras: classification, exam
From playlist Lie Theory and Representation Theory - 2015
Serganova, Vera, Lecture II - 22 January 2015
Vera Serganova (University of California, Berkeley) - Lecture II http://www.crm.sns.it/course/4034/ The goal of this minicourse is to review recent results in representation theory of finite-dimensional Lie superalgebras. Lecture 1 Finite-dimensional Lie superalgebras: classification, exa
From playlist Lie Theory and Representation Theory - 2015
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
Shun-Jen Cheng: Representation theory of exceptional Lie superalgebras
SMRI Algebra and Geometry Online: Shun-Jen Cheng (Institute of Mathematics, Academia Sinica) Abstract: In the first half of the talk we shall introduce the notion of Lie superalgebras, and then give a quick outline of the classification of finite-dimensional complex simple Lie superalgebr
From playlist SMRI Algebra and Geometry Online
If you rotate a bowling ball, it looks the same even though it's been "transformed". We say that the bowling ball exhibits "rotational symmetry". The particles making up the universe exhibit related kinds of symmetries, in which the particles are transformed but the equations describing th
From playlist Science Unplugged: Supersymmetry
Minoru Wakimoto, Mock modular forms and representation theory of affine Lie superalgebras
Minoru WAKIMOTO (Université de Kyushu) "Mock modular forms and representation theory of affine Lie superalgebras - the case of sl(2|1)^"
From playlist Après-midi en l'honneur de Victor KAC
A very quick demo of how to access the 2D and 3D calculator on Geogebra.
From playlist Geogebra
quick review of how to resize an image in Geogebra
From playlist Geogebra
Axel de Goursac: Noncommutative Supergeometry and Quantum Field Theory
In this talk, we present the philosophy and the basic concepts of Noncommutative Supergeometry, i.e. Hilbert superspaces, C*-superalgebras and quantum supergroups. Then, we give examples of these structures coming from deformation quantization and we expose an application to renormalizable
From playlist HIM Lectures: Trimester Program "Non-commutative Geometry and its Applications"
AWESOME SUPERCONDUCTOR LEVITATION!!!
A quantum levitator it's a circular track of magnets above which a razor-thin disc magically levitates, seeming to defy the laws of physics. The key to the levitator is the disc, which is made of superconducting material sandwiched between layers of gold and sapphire crystal. A piece of fo
From playlist THERMODYNAMICS
CAS GeoGebra: Resolviendo ecuaciones cuadráticas (básico)
Utilizando la aplicación CAS de Geogebra podemos resolver fácilmente ecuaciones como las polinómicas de segundo grado. En el video se muestran algunos ejemplos.
From playlist GeoGebra para celulares
Jonathan Grant: Ladder diagrams for Uq(gl(m|n))
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: Ladder diagrams were invented by Cautis, Kamnitzer and Morrison, and form a monoidal category that is equivalent to the monoidal category generated by ext
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"