**SMS scnews item created by James East at Fri 31 Jul 2009 1418**

Type: Seminar

Distribution: World

Expiry: 7 Aug 2009

**Calendar1: 7 Aug 2009 1205-1255**

**CalLoc1: Carslaw 375**

Auth: jamese@bari.maths.usyd.edu.au

### Algebra Seminar

# Two boundary graded centralizer algebras

### Zajj Daugherty

#### Friday August 7, 12:05--12:55pm, Carslaw 375

###### Abstract

Two boundary diagram algebras (e.g. graded braid groups, Hecke algebras, Brauer algebras) arise as tensor power centralizer algebras, algebras of commuting operators for a Lie group action on a tensor space, and show ties to already familiar objects. In particular, one two boundary centralizer algebra in type A is isomorphic to a graded Hecke algebra for a reflection group of type C. In this talk, I will construct this algebra, discuss its representations and their combinatorial structure, and provide its relation to type C objects.

---------------------------------------------------------------------------------------

After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

James East jamese@maths.usyd.edu.au