2007/03/07 by Andrew Hubery, Hubery, Andrew · 1 citation
Computer Science · Mathematics · #16G20 #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Information and Cryptography #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.math/0703178
openalex publication_date 2007/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.