##### Department of Mathematics,

University of California San Diego

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### Representation Theory

## K. Baur

#### UCSD

## Nice parabolic subalgebras and a normal form for admissible

##### Abstract:

Lynch's vanishing theorem for generalized Whittaker modules applies to generic homomorphisms of the nilradical of a class of parabolic subalgebras which we have named nice. In this talk we describe the classification of nice parabolic subalgebras of simple Lie algebras. Our results give rise to a new characterisation of even nilpotents. We will also give a normal form of Richardson elements for nice parabolic subalgebras in the classical case.

Host:

### October 5, 2004

### 3:00 PM

### AP&M 7321

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