##### Department of Mathematics,

University of California San Diego

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### Representation Theory

## Hans Wenzl

#### UCSD

## Spinor representations and reconstruction

##### Abstract:

It is shown that the commutant of the Pin-group action on tensor powers of the spinor representation is already generated by the elements which appear in the second tensor power, and a complete set of relations is given. This can be used to completely classify all tensor categories whose Grothendieck semiring is the one of a classical group.

Host:

### February 17, 2004

### 1:30 PM

### AP&M 7321

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