Algebra Seminar: Hu -- On the annihilators of tensor space in Brauer algebras

There will be an Algebra Seminar on Friday 7 October, given by Jun Hu.  

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Speaker: Jun Hu (University of Sydney) 

Date: Friday 7 October 

Time: 12:05-12:55pm 

Venue: Carslaw 175 

Title: 

On the annihilators of tensor space in Brauer algebras 

Abstract: 

Let X be in {B,C,D}.  If X=C, then we set K to be an arbitrary field and V a
2m-dimensional symplectic K-vector space; if X is in {B,D}, then K is an arbitrary field
of characteristic not equal to 2 and V an m-dimensional orthogonal K-vector space.  Let
B_n(-2m), B_n(m) be the corresponding specialized Brauer algebras.  In this talk, I
shall review results on the annihilators of the n-tensor space V^{\otimes n} in the
algebras B_n(-2m), B_n(m).  If time allows, I will also mention the quantized cases
(i.e., on the specialized Birman-Murakami-Wenzl algebras).  

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