# CSM

## Seminar

### Algebraic structure of the q-Knizhnik-Zamolodchikov equation on a segment, partial sums and punctured plane partitions

Seminar Room 1, Newton Institute

#### Abstract

We show that solutions of the qKZ equation for the link pattern representation of the Temperley-Lieb algebra have the same structure as the canonical basis defined by Lusztig in tensor products of representation modules of U_q(sl_2). This structure gives in a natural way rise to consider partial sums over qKZ solutions. In the context of the Razumov-Stroganov conjecture we show that such partial sums over qKZ solutions of level one are related to weighted transpose complement cyclically symmetric plane partitions with a hole.

**Related Links**

- http://www.ms.unimelb.edu.au/~degier - Homepage

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