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Non-commutative invariant theory

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Algebraic Lie Theory

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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