Colloquium

Speaker: | Prof. Ruibin Zhang (Univ. of Sydney) |

Title: | Quantum group actions on associative algebras and noncommutative analogue of classical invariant theory |

Time: | 2008-06-26 (Thu.) 15:00 - 16:00 |

Place: | |

Abstract: | We establish a noncommutative analogue of the first fundamental theorem of classical invariant theory. For a quantum group associated with each classical Lie algebra, we construct a noncommutative associative algebra that admits an action of the quantum group. The subspace of invariants is shown to form a subalgebra, which is finitely generated. We construct the generators of the subalgebra of invariants and determine their commutation relations. In the limit $q\rightarrow 1$, the results recover the first fundamental theorem of classical invariant theory. This is joint work with Gus Lehrer and H. Zhang. |

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