SMS scnews item created by Anthony Henderson at Thu 20 Mar 2008 1419
Type: Seminar
Distribution: World
Expiry: 28 Mar 2008
Calendar1: 28 Mar 2008 1205-1255
CalLoc1: Carslaw 373
CalTitle1: Algebra Seminar: Zhang -- Quantum group actions on noncommutative algebras and invariant theory
Auth: anthonyh@asti.maths.usyd.edu.au

Algebra Seminar

Quantum group actions on noncommutative algebras and invariant theory

Ruibin Zhang

28th March, 12:05-12:55pm, Carslaw 373


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 which admits an action of the quantum group. We prove the finite generation of the subalgebra of invariants, construct its generators and determine their commutation relations. In the limit q going to 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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