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ISSN 1088-4165

Hall polynomials for affine quivers

Author(s): Andrew Hubery
Journal: Represent. Theory 14 (2010), 355-378.
MSC (2010): Primary 16G20
Posted: April 30, 2010
MathSciNet review: 2644456
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We use Green's comultiplication formula to prove that Hall polynomials exist for all Dynkin and affine quivers. For Dynkin and cyclic quivers this approach provides a new and simple proof of the existence of Hall polynomials. For non-cyclic affine quivers these polynomials are defined with respect to the decomposition classes of Bongartz and Dudek, a generalisation of the Segre classes for square matrices.

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