Lie groups | Representation theory

Algebraic representation

In mathematics, an algebraic representation of a group G on a k-algebra A is a linear representation such that, for each g in G, is an algebra automorphism. Equipped with such a representation, the algebra A is then called a G-algebra. For example, if V is a linear representation of a group G, then the representation put on the tensor algebra is an algebraic representation of G. If A is a commutative G-algebra, then is an affine G-scheme. (Wikipedia).

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Algebraic Expressions (Basics)

This video is about Algebraic Expressions

From playlist Algebraic Expressions and Properties

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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

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How to write an algebraic proof

πŸ‘‰ Learn how to write an algebraic proof. Algebraic proofs are used to help students understand how to write formal proofs where we have a statement and a reason. In the case of an algebraic proof the statement will be the operations used to solve an algebraic equation and the reason will

From playlist Parallel Lines and a Transversal

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Ex: Write a Algebraic Expression in the Form x+c and c-x (less and more)

This video explains how to write a algebraic or variable expression from a given statement. http://mathispower4u.com

From playlist Evaluating and Writing Algebraic Expressions

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Learning to write an algebraic proof

πŸ‘‰ Learn how to write an algebraic proof. Algebraic proofs are used to help students understand how to write formal proofs where we have a statement and a reason. In the case of an algebraic proof the statement will be the operations used to solve an algebraic equation and the reason will

From playlist Parallel Lines and a Transversal

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Group equation examples Lesson 26

In this video we solve algebraic expressions using the properties of groups. It is always good to work through a few examples. You must get familiar with solving equations where the variables are group elements and not placeholders for numbers only.

From playlist Abstract algebra

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AlgTopReview: An informal introduction to abstract algebra

This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces for those of you who have not studied these objects before, and perhaps gives an overview for those of you who have. Our treatment is

From playlist Algebraic Topology

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Solving Algebraic Fractions | Algebra | Maths | FuseSchool

Algebraic fractions are simply fractions with algebraic expressions either on the top, bottom or both. We treat them in the same way as we would numerical fractions. In part 1 we saw how to simplify, and add and subtract algebraic fractions. We discovered that algebraic fractions follow th

From playlist MATHS

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Learn how to write an algebraic proof

πŸ‘‰ Learn how to write an algebraic proof. Algebraic proofs are used to help students understand how to write formal proofs where we have a statement and a reason. In the case of an algebraic proof the statement will be the operations used to solve an algebraic equation and the reason will

From playlist Parallel Lines and a Transversal

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Nigel Higson: Real reductive groups, K-theory and the Oka principle

The lecture was held within the framework of Follow-up Workshop TP Rigidity. 29.4.2015

From playlist HIM Lectures 2015

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Moduli of Representations and Pseudorepresentations - Carl Wang Erickson

Carl Wang Erickson Harvard University May 2, 2013 A continuous representation of a profinite group induces a continuous pseudorepresentation, where a pseudorepresentation is the data of the characteristic polynomial coefficients. We discuss the geometry of the resulting map from the moduli

From playlist Mathematics

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The Drinfeld-Sokolov reduction of admissible representations of affine Lie algebras - Gurbir Dhillon

Workshop on Representation Theory and Geometry Topic: The Drinfeld--Sokolov reduction of admissible representations of affine Lie algebras Speaker: Gurbir Dhillon Affiliation: Yale University Date: April 03, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

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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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Representation Theory(Repn Th) 3 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

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Representation theory of W-algebras and Higgs branch conjecture – Tomoyuki Arakawa – ICM2018

Lie Theory and Generalizations Invited Lecture 7.2 Representation theory of W-algebras and Higgs branch conjecture Tomoyuki Arakawa Abstract: We survey a number of results regarding the representation theory of W-algebras and their connection with the resent development of the four dimen

From playlist Lie Theory and Generalizations

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Mumford-Tate Groups and Domains - Phillip Griffiths

Phillip Griffiths Professor Emeritus, School of Mathematics March 28, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Monica Vazirani: Representations of the affine BMW category

The BMW algebra is a deformation of the Brauer algebra, and has the Hecke algebra of type A as a quotient. Its specializations play a role in types B, C, D akin to that of the symmetric group in Schur-Weyl duality. I will discuss Walker’s TQFT-motivated 1-handle construction of a family of

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

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The Miura operator at the M2-M5 Intersection by Miroslav Rapcak

PROGRAM : QUANTUM FIELDS, GEOMETRY AND REPRESENTATION THEORY 2021 (ONLINE) ORGANIZERS : Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pan

From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)

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The orbit method for (certain) pro-p groups (Lecture 2) by Uri Onn

PROGRAM GROUP ALGEBRAS, REPRESENTATIONS AND COMPUTATION ORGANIZERS: Gurmeet Kaur Bakshi, Manoj Kumar and Pooja Singla DATE: 14 October 2019 to 23 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Determining explicit algebraic structures of semisimple group algebras is a fund

From playlist Group Algebras, Representations And Computation

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23 Algebraic system isomorphism

Isomorphic algebraic systems are systems in which there is a mapping from one to the other that is a one-to-one correspondence, with all relations and operations preserved in the correspondence.

From playlist Abstract algebra

Related pages

Algebraic character | Tensor algebra | Group-scheme action | Tensor product of representations | Algebra over a field | Group (mathematics)