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Representations of Finite Groups

Vigre Seminar Mustafa Hajij

Definition

Definition

Some representations of cyclic groups

Some representations of cyclic groups

Some representations of cyclic groups

Some representations of S3

Irreducible representations

Irreducible representations

Irreducible representations

Irreducible representations of a cyclic group

Irreducible representations of a cyclic group

Irreducible representations of a cyclic group

Irreducible representations of a cyclic group

Irreducible representations of S3

Irreducible representations of S3

Irreducible representations of S3

Irreducible representations of S3

Irreducible representations of S3

Direct Sum of Representations

Direct Sum of Representations

Maschke’s Theorem

Maschke’s Theorem

Tensor product of representations

Tensor product of representations

Tensor product of representations

Group Characters

Group Characters

Group Characters

Group Characters

Elementary properties of group characters

Elementary properties of group characters

Elementary properties of group characters

Elementary properties of group characters

Inner product of characters

Inner product of characters

Inner product of characters

Inner product of characters

Inner product of characters

Inner product of characters

Inner product of characters

Inner product of characters

Inner product of characters

Character Table

Character Table

Character Table

Character Table

Character Table

Character Table

The Character Table for S3

The Character Table for S3

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