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arXiv · 1005.3596

b-Functions associated with quivers of type A

Kazunari Sugiyama
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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.

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Kazunari Sugiyama. 2010-05-20. b-Functions associated with quivers of type A. https://arxiv.org/abs/1005.3596

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