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Hall polynomials for affine quivers
[article]
2007
arXiv
pre-print
We use the comultiplication to prove that Hall polynomials exist for all finite and affine quivers. In the finite and cyclic cases, this approach provides a new and simple proof of the existence of Hall polynomials. In general, these polynomials are defined with respect to the decomposition classes of Bongartz and Dudek, a generalisation of the Segre classes for square matrices.
arXiv:math/0703178v2
fatcat:zvouckiaxbd55ft2vyzwrmdgje