b-Functions associated with quivers of type A
Representation Theory
2011-02-04 v2
Abstract
We study the b-functions of relative invariants of the prehomogeneous vector spaces associated with quivers of type A. By applying the decomposition formula for b-functions, we determine explicitly the b-functions of one variable for each irreducible relative invariant. Moreover, we give a graphical algorithm to determine the b-functions of several variables.
Cite
@article{arxiv.1005.3596,
title = {b-Functions associated with quivers of type A},
author = {Kazunari Sugiyama},
journal= {arXiv preprint arXiv:1005.3596},
year = {2011}
}
Comments
43 pages, 17 figures, revised following the suggestions of the referee