Definitions Flashcards by John Board

Q

Representation

A

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Q

Equivalent Representation

A

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Q

Faithful Representation

A

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Q

FG-Module

A

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Q

Endomorphism Relative To A Basis

A

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Q

Trivial FG-Module

A

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Q

Faithful FG-Module

A

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Q

Permutation Module

A

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Q

FG-Submodule

A

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Q

Irreducible FG-Module

A

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Q

Group Algebra

A

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Q

Regular FG-Module

A

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Q

Regular Representation

A

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Q

FG Acts On An FG-Module

A

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Q

FG-Homomorphism

A

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Q

Isomorphic FG-Modules

A

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Q

Direct Sum Of Vector Spaces

A

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Q

Projection

A

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Q

External Direct Sum Of Vector Spaces

A

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Q

External Direct Sum Of FG-Modules

A

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Q

Completely Irreducible FG-Module

A

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Q

Centre Of A Group Algebra

A

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Q

Centre Of A Group

A

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Q

Composition Factor

A

.

Q

Common Composition Factor

A

.

Q

The Space Of CG-Homomorphisms

A

.

Q

Complete Set Of Non-Isomorphic Irreducible CG-Modules

A

.

Q

Group Acting On A Set

A

.

Q

Orbit

A

.

Q

Stabiliser

A

.

Q

Conjugacy Class

A

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Q

Class Sums

A

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Q

Trace

A

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Q

Character Of A CG-Module

A

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Q

Character Of A Representation

A

.

Q

Character Of A Group

A

.

Q

Irreducible/Reducible Character

A

.

Q

Degree Of A Character

A

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Q

Linear Characters

A

.

Q

Trivial Character

A

.

Q

Kernal Of A Character

A

.

Q

Faithful Character

A

.

Q

Complex Conjugate Of A Character

A

.

Q

Regular Character

A

.

Q

Permutation Character

A

.

Q

Class Functions

A

.

Q

Inner Product On Set Of Functions From G To C

A

.

Q

External Direct Sum Of M Copies Of V

A

.

Q

Kronecker Delta Function

A

.

Q

Constituent

A

.

Q

Character Table

A

.

Q

Lift

A

.

Q

Commuter/Derived Subgroup

A

.

Q

mn-Dimensional Vector Space Over C

A

.

Q

Tensor Product Module

A

.

Q

Def 18.11

A

.

Q

Algebraic Integer

A

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