##### Department of Mathematics,

University of California San Diego

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### Food for Thought

## Oded Yacobi

#### UCSD Graduate Student

## Representations of the symmetric group

##### Abstract:

I will begin with a few basic facts about the representation theory of finite groups and enumerate all the irreducible representations of the symmetric group. Then I’ll discuss the Frobenius characteristic map, which relates the symmetric group to symmetric polynomials. If time permits I will mention a beautiful connection with the representations of the general linear group, known as “Schur-Weyl Duality”.

Host:

### February 9, 2006

### 10:00 AM

### AP&M 5829

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