Representations of Finite Groups | Definitions and simple examples.

Share this & earn $10
Michael Penn
Published at : 11 Jan 2021
8520 views
330
3

We define the notion of a representation of a group on a finite dimensional complex vector space. We also explore one and two dimensional representations of the cyclic group Zn.

Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1

Personal Website: http://www.michael-penn.net
Randolph College Math: http://www.randolphcollege.edu/mathematics/
Research Gate profile: https://www.researchgate.net/profile/Michael_Penn5
Google Scholar profile: https://scholar.google.com/citations?user=W5wkSxcAAAAJ&hl=en

Books I like:

Group Representations:
Steinberg: https://amzn.to/2ADbOUT

Abstract Algebra:

Judson(online): http://abstract.ups.edu/
Judson(print): https://amzn.to/2Xg92wD
Dummit and Foote: https://amzn.to/2zYOrok
Gallian: https://amzn.to/2zg4YEo
Artin: https://amzn.to/2LQ8l7C

Differential Forms:
Bachman: https://amzn.to/2z9wljH

Number Theory:

Crisman(online): http://math.gordon.edu/ntic/
Strayer: https://amzn.to/3bXwLah
Andrews: https://amzn.to/2zWlOZ0

Analysis:

Abbot: https://amzn.to/3cwYtuF
How to think about Analysis: https://amzn.to/2AIhwVm

Calculus:

OpenStax(online): https://openstax.org/subjects/math
OpenStax Vol 1: https://amzn.to/2zlreN8
OpenStax Vol 2: https://amzn.to/2TtwoxH
OpenStax Vol 3: https://amzn.to/3bPJ3Bn
mathmathematicsnumber theory

Johnny Burnette - Dreamin`

Johnny Burnette - Dreamin`

The Greatest Secret Of The Rich

The Greatest Secret Of The Rich

CLEAN YOUR ROOM - Powerful Life Advice | Jordan Peterson

CLEAN YOUR ROOM - Powerful Life Advice | Jordan Peterson

2Two - The Key

2Two - The Key

THE EASIEST WIN EVER IN WARZONE!

THE EASIEST WIN EVER IN WARZONE!

A Tribute to our Modern Day Heroes

A Tribute to our Modern Day Heroes

Mastering the Fundamentals: Preflop Strategy

Mastering the Fundamentals: Preflop Strategy

Why Nigeria is often criticized by media and many people across the world

Why Nigeria is often criticized by media and many people across the world

How Foreign Currency Accounts Work

How Foreign Currency Accounts Work

ARRI SRH-3: Compact, lightweight and sturdy

ARRI SRH-3: Compact, lightweight and sturdy

LEGO Stuck in Child's NOSE!!! Mothers have your Kids Watch THIS!!

LEGO Stuck in Child's NOSE!!! Mothers have your Kids Watch THIS!!

Céline Dion - Alone (Live in Boston, 2008)

Céline Dion - Alone (Live in Boston, 2008)

How i would steal 1 Million Dollars

How i would steal 1 Million Dollars

GUESS THE RANK - "THE WORST TEAM FIGHTS I HAVE EVER SEEN" - Pro Coach Review | Dota 2 Guide

GUESS THE RANK - "THE WORST TEAM FIGHTS I HAVE EVER SEEN" - Pro Coach Review | Dota 2 Guide

[470]Pattern Review|Chalk N'Notch Fringe Dress Ft. Minerva.com

[470]Pattern Review|Chalk N'Notch Fringe Dress Ft. Minerva.com

John Piper - Submit to the Word of God

John Piper - Submit to the Word of God

What We Actually Think Of Millennials

What We Actually Think Of Millennials

A certain quantity of a gas occupies 100 mL when collected over water at `15^(@)C

A certain quantity of a gas occupies 100 mL when collected over water at `15^(@)C

Taking Flight - An S.A Original

Taking Flight - An S.A Original

Polyphia | Aviator feat. Jason Richardson (Official Music Video)

Polyphia | Aviator feat. Jason Richardson (Official Music Video)

WELCOME CHIESA | Federico Chiesa is Presented as a Juventus Player

WELCOME CHIESA | Federico Chiesa is Presented as a Juventus Player

Prime Minister Attlee at Buckingham Palace (1945)

Prime Minister Attlee at Buckingham Palace (1945)

Mr.Capone-E- REP AND SERVE (Official Music Video)

Mr.Capone-E- REP AND SERVE (Official Music Video)

OPENING 2 YEARS WORTH OF LOOTCRATE BOXES!!! Found a Million $$$ Comic Book!

OPENING 2 YEARS WORTH OF LOOTCRATE BOXES!!! Found a Million $$$ Comic Book!

Dr Joseph Murphy Your Magic Power For Perfect Living And Avoiding Curses

Dr Joseph Murphy Your Magic Power For Perfect Living And Avoiding Curses

Fireboy - You (Dustii Remix)

Fireboy - You (Dustii Remix)

'Explosive' takeoff - Amazing!!

'Explosive' takeoff - Amazing!!

The most suitable contemporary sport -- yoga

The most suitable contemporary sport -- yoga

A Little Piece of Heaven - Avenged Sevenfold (Sub. Español)

A Little Piece of Heaven - Avenged Sevenfold (Sub. Español)

The Jump| Scottie Pippen excited Los Angeles Clippers def. Golden State Warriors, Kawhi back-to-back

The Jump| Scottie Pippen excited Los Angeles Clippers def. Golden State Warriors, Kawhi back-to-back

Increasing and Decreasing Functions - Calculus

Increasing and Decreasing Functions - Calculus

SABATON - Uprising (OFFICIAL MUSIC VIDEO)

SABATON - Uprising (OFFICIAL MUSIC VIDEO)

A FATHERLAND INTERVIEW - RIGGING NIGERIA

A FATHERLAND INTERVIEW - RIGGING NIGERIA

BAAP Mary sir nanga  Honda by Zeeshan khan Rokhri Latest Saraiki & Punjabi Songs 2020

BAAP Mary sir nanga Honda by Zeeshan khan Rokhri Latest Saraiki & Punjabi Songs 2020

What is an argument?

What is an argument?

ACRYLIC KEYCHAIN TUTORIAL CRICUT  |  How to make keychains with Cricut from start to finish

ACRYLIC KEYCHAIN TUTORIAL CRICUT | How to make keychains with Cricut from start to finish

Upgrade to Premier Advantage Package

Upgrade to Premier Advantage Package

Macao - A success story (Celebrations abroad of the 20 years of the Macao SAR)

Macao - A success story (Celebrations abroad of the 20 years of the Macao SAR)

Armenian Public Television news intros evolution 197? - 2020

Armenian Public Television news intros evolution 197? - 2020

USA Visitors Visa Sponsor Documents

USA Visitors Visa Sponsor Documents

Radical Surgery Cures Teen of Tourette's Syndrome (04.01.11)

Radical Surgery Cures Teen of Tourette's Syndrome (04.01.11)

Attempting to find the best bedwars player (v13)

Attempting to find the best bedwars player (v13)

Vlad et Niki   histoires drôles de jouets avec des costumes pour enfants

Vlad et Niki histoires drôles de jouets avec des costumes pour enfants

Pediatric Hematology

Pediatric Hematology

#2 process of squeezing acne in the nose. clean. what's left over from part 1

#2 process of squeezing acne in the nose. clean. what's left over from part 1

بهترین دلیل بازی کردن وارزون - Warzone

بهترین دلیل بازی کردن وارزون - Warzone

We're going to Loo Loo Land

We're going to Loo Loo Land

Made For Each Other starlife

Made For Each Other starlife

Kiga4BEK - тын ТУРНИРЫНДЕ ТОП-1 АЛДЫМ ЕБААА!

Kiga4BEK - тын ТУРНИРЫНДЕ ТОП-1 АЛДЫМ ЕБААА!