Lie groups | Lie algebras | Algebraic geometry | Representation theory

Chevalley restriction theorem

In the mathematical theory of Lie groups, the Chevalley restriction theorem describes functions on a Lie algebra which are invariant under the action of a Lie group in terms of functions on a Cartan subalgebra. (Wikipedia).

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Oksana Yakimova, Research talk - 30 January 2015

Oksana Yakimova (Universität Jena) - Research talk http://www.crm.sns.it/course/4158/ On symmetric invariants of semi-direct products. Let $\mathfrak g$ be a complex reductive Lie algebra. By the Chevalley restriction theorem, the subalgebra of symmetric invariants $S(\mathfrak g)^{\math

From playlist Lie Theory and Representation Theory - 2015

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Introduction to number theory lecture 22. Chevalley-Warning theorem

This lecture is part of my Berkeley math 115 course "Introduction to number theory" For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 We discuss the Chevalley-Warning theorem, which says roughly that it is easy to find soluti

From playlist Introduction to number theory (Berkeley Math 115)

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Theory of numbers: Chevalley-Warning theorem

This lecture is part of an online undergraduate course on the theory of numbers. We prove the Chevalley-Warning theorem, which which gives conditions for a polynomial in several variables to have a solution modulo a prime. For the other lectures in the course see https://www.youtube.

From playlist Theory of numbers

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Determining Limits

http://mathispower4u.wordpress.com/

From playlist Limits

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Multivariable Calculus | The Squeeze Theorem

We calculate a limit using a multivariable version of the squeeze theorem. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Multivariable Calculus

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Evalauate the limit of a piecewise function with a hole

👉 Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at

From playlist Evaluate the Limit (PC)

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Calculus - The laws of limits

This video covers the laws of limits and how we use them to evaluate a limit. These laws are especially handy for continuous functions. More theorems about limits are introduced in later videos. For more videos visit http://www.mysecretmathtutor.com

From playlist Calculus

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A central limit theorem for Gaussian polynomials...... pt2 - Anindya De

Anindya De Institute for Advanced Study; Member, School of Mathematics May 13, 2014 A central limit theorem for Gaussian polynomials and deterministic approximate counting for polynomial threshold functions In this talk, we will continue, the proof of the Central Limit theorem from my las

From playlist Mathematics

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Calculus - The Fundamental Theorem, Part 2

The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.

From playlist Calculus - The Fundamental Theorem of Calculus

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Homogeneous spaces, algebraic K-theory and cohomological(...) - Izquierdo - Workshop 2 - CEB T2 2019

Diego Izquierdo (MPIM Bonn) / 24.06.2019 Homogeneous spaces, algebraic K-theory and cohomological dimension of fields. In 1986, Kato and Kuzumaki stated a set of conjectures which aimed at giving a Diophantine characterization of the cohomological dimension of fields in terms of Milnor

From playlist 2019 - T2 - Reinventing rational points

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The Squeeze Theorem and Special Limits

This video explains the squeeze theorem and 3 special limits. http://mathispower4u.wordpress.com/

From playlist Limits

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Gopal Prasad: Descent in Bruhat-Tits theory

Bruhat-Tits theory applies to a semisimple group G, defined over an henselian discretly valued field K, such that G admits a Borel K-subgroup after an extension of K. The construction of the theory goes then by a deep Galois descent argument for the building and also for the parahoric grou

From playlist Algebraic and Complex Geometry

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Henniart: Classification des représentations admissibles irréductibles modulo p...

Recording during the thematicmeeting : "Algebraic and Finite Groups, Geometry and Representations. Celebrating 50 Years of the Chevalley Seminar " the September 23, 2014 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this

From playlist Partial Differential Equations

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Theorem 1.10 - part 10.5 - Neron-Ogg-Shafarevich - Structure of m-Torsion of A mod p

Here we use the theory of Neron Models, Chevalley-Rosenlicht, and a handful of other things to determine the structure of the torsion of an Abelian variety with bad reduction modulo p. This is used in proving the hard part of the Neron-Ogg-Shafarevich criterion: if an abelian variety has a

From playlist Theorem 1.10

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Ax-Katz-Chevalley-Warning Introduction

Take a smooth projective variety defined over a finite field FF_p. The number of FF_p points is actually congruent to one modulo p and actually how divisible by p this number is has to do with the Hodge diamond.

From playlist Newton above Hodge

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The hardest concept in Calculus? #SoME2

The ε-δ definition of limits is infamous among calculus students for being confusing to understand and cumbersome to use. In this video I show what is the geometrical interpretation of that definition and give an example of how it is actually used in practice connecting the steps of the re

From playlist Summer of Math Exposition 2 videos

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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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Ex 1: Determine a Limit Analytically

This video determines two limits analytically by performing direct substitution. One is a polynomial function and the other is a square root function. The result is verified graphically. Complete Video List at http://www.mathispower4u.com

From playlist Limits

Related pages

Special linear group | Lie group | Symmetric group | Weyl group | Cartan subalgebra | Lie algebra