### Non-commutative invariant theory

Lehrer, GI *(Sydney)*

Thursday 25 June 2009, 10:00-11:00

Seminar Room 1, Newton Institute

#### Abstract

We define a (non-commutative) quantum analogue of the coordinate ring of a finite dimensional module of a quantum group, which in many (but not all) cases is a flat deformation of the classical coordinate ring. We prove a quantum analogue of the first fundamental theorem of invariant theory in a form which generalises the classical cases. This is joint work with R. Zhang and H. Zhang.

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