##### Department of Mathematics,

University of California San Diego

****************************

### Math 256 - Representation Theory

## Wee Teck Gan

#### UCSD

## Uniqueness of Joseph ideal

##### Abstract:

Given a complex simple Lie algebra, Joseph has constructed a completely prime ideal in the universal enveloping algebra whose associated variety is the minimal non-zero nilpotent orbit. He also claimed that J is characterized by this property when the Lie algebra is not of type A. Unfortunately there is a gap in the proof. We shall describe a simple proof along different lines. (Joint work with G. Savin).

Host:

### January 13, 2004

### 1:30 PM

### AP&M 7321

****************************