醉月湖講座Lakeside Lecture Series
演講者：Professor Ruibin Zhang (University of Sydney)  
講 題：Second fundamental theorem of invariant theory for orthogonal and symplectic groups
時 間：2012年12月17日 (星期一) 14:00~15:00
地 點：臺灣大學天文數學館202室
茶 點：13:30~14:00
摘 要：
   The first and second fundamental theorems (FFT and SFT) of classical invariant theory are respectively concerned with generators and relations for invariants of group actions. Let G be the orthogonal group O(V) or the symplectic Sp(V), and let   be the algebra of endomorphisms of . The FFT of the invariant theory of G in this setting states that there is a surjective algebra homomorphism from the Brauer algebra of degree r to the subalgebra of invariants in End( ). However, the SFT remained elusive in this setting. We will develop an SFT by studying a category of Brauer tangle diagrams, and discuss the generalization of the results to the corresponding quantum groups. This is joint work with Gus Lehrer.
主辦人：Yi-Chiuan Chen, Kin-Ming Hui, Jeremy Wong, Jeng-Daw Yu