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. || Close window ||