The radical of an algebraic group is the identity component of its maximal normal solvable subgroup.For example, the radical of the general linear group (for a field K) is the subgroup consisting of scalar matrices, i.e. matrices with and for . An algebraic group is called semisimple if its radical is trivial, i.e., consists of the identity element only. The group is semi-simple, for example. The subgroup of unipotent elements in the radical is called the unipotent radical, it serves to define reductive groups. (Wikipedia).
How To Find The Domain of a Radical Function | Algebra
This algebra video tutorial explains how to find the domain of a radical function using interval notation and number lines. It explains when you should use brackets vs parentheses. This video contains plenty of examples and practice problems on finding the domain of square root functions
From playlist New Algebra Playlist
Simplifying a radical expression to rational exponents
👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p
From playlist Numbers Raised to Fractional Exponents
How to write a radical into a term with rational exponents
👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p
From playlist Numbers Raised to Fractional Exponents
Converting a radical expression to a exponent with a rational power root
👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p
From playlist Numbers Raised to Fractional Exponents
Write Rational Exponents as Radicals and Radicals Using Rational Exponents (Variables)
This video explains how to convert from rational exponents to radicals and from radicals to rational exponents. http://mathispower4u.com
From playlist Performing Operations with Rational Exponents
Using parenthesis to help convert a rational expression from radical form
👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p
From playlist Numbers Raised to Fractional Exponents
How to write a term with a rational exponent in radical form
👉 Learn how to convert a rational power to a radical. When the exponent of an expression is a fraction, we can evaluate/simplify the expression by converting the rational power into a radical where the denominator of the fractional exponent of the rational power becomes the index (nth root
From playlist Convert Fractional Exponents to Radicals
Algebraic Structures: Groups, Rings, and Fields
This video covers the definitions for some basic algebraic structures, including groups and rings. I give examples of each and discuss how to verify the properties for each type of structure.
From playlist Abstract Algebra
Representation Theory(Repn Th) 5 by Gerhard Hiss
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
Learning how to rewrite an expression from radical form to a rational power
👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p
From playlist Numbers Raised to Fractional Exponents
A recap of what we've been doing up until Spring Break, plus what we're going to do for the rest of the semester.
From playlist Modern Algebra
Pseudo-reductive groups by Brian Conrad
PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will
From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)
On the long-term dynamics of nonlinear dispersive evolution equations - Wilhelm Schlag
Analysis Seminar Topic: On the long-term dynamics of nonlinear dispersive evolution equations Speaker: Wilhelm Schlag Affiliation: University of Chicago Visiting Professor, School of Mathematics Date: Febuary 14, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Parahoric Subgroups and Supercuspidal Representations of p-Adic groups - Dick Gross
Dick Gross Harvard University December 9, 2010 This is a report on some joint work with Mark Reeder and Jiu-Kang Yu. I will review the theory of parahoric subgroups and consider the induced representation of a one-dimensional character of the pro-unipotent radical. A surprising fact is th
From playlist Mathematics
Generic semistability of representations of reductive groups by Donghoon David Hyeon
Algebraic Surfaces and Related Topics PROGRAM URL : http://www.icts.res.in/program/AS2015 DESCRIPTION : This is a joint program of ICTS with TIFR, Mumbai and KIAS, Seoul. The theory of surfaces has been the cradle to many powerful ideas in Algebraic Geometry. The problems in this area
From playlist Algebraic Surfaces and Related Topics
Simplifying Radicals with Variables and Exponents
Learn how to simplify radicals with variables and exponents in this video math tutorial by Mario's Math Tutoring. We go through 3 examples discussing how to simplify cube roots, fourth roots, and square roots with both numbers and variables. We also discuss how to use factor trees to fin
From playlist Algebra 1
This lecture is part of an online course on Galois theory. This is an introductory lecture, giving an informal overview of Galois theory. We discuss some historical examples of problems that it was used to solve, such as the Abel-Ruffini theorem that degree 5 polynomials cannot in genera
From playlist Galois theory
How to rewrite an expression from a radical to a rational exponent root
👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p
From playlist Numbers Raised to Fractional Exponents
Denis Osin: Acylindrically hyperbolic groups (part 2)
The lecture was held within the framework of Follow-up Workshop TP Rigidity. 30.4.2015
From playlist HIM Lectures 2015