Representations of Quivers with Free Modules of Covariants

Carol Chang

Northeastern University

April 21,
4:15pm
refreshments at 3:45pm
2-338

ABSTRACT 

A quiver is an oriented graph Q=(Q_0,Q_1) where Q_0 is the set of vertices and Q_1 is the set of arrows. For an arrow a in Q_1, a: tail(a) -> head(a). A representation V of a quiver Q is a collection of vector spaces at each vertex, together with linear maps corresponding to each arrow. Specifiying a dimension at each vertex of the quiver, a representation is then determined by specifying the linear maps., or in other words by a point in a certain affine space, Rep(Q,d).

Given a finite connected quiver Q, we are interested in when the action of SL(Q,d) on Rep(Q,d) gives a cofree representation. In particular, we are interested in studying the situation when the modules of covariants are free k[Rep(Q,d)]^{SL(Q,d)}-modules. We will discuss when quivers have free modules of covariants.


Speaker's Contact Info: cchang(at-sign)neu.edu


Return to seminar home page

Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)math.mit.edu

Page loaded on April 14, 2000 at 12:05 PM. Copyright © 1998-99, Sara C. Billey. All rights reserved.