b-Functions associated with quivers of type A

Details b-Functions associated with quivers of type A b-Functions associated with quivers of type A

2010-05-20

arxiv.org/abs/1005.3596v2

Mathematics

Representation Theory

43 pages, 17 figures, revised following the suggestions of the referee

Scientific paper

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.

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