Generic extensions of nilpotent k[T]-modules, monoids of partitions and constant terms of Hall polynomials

• Autorzy: Justyna Kosakowska
• Języki publikacji: EN

Abstrakty

EN

We prove that the monoid of generic extensions of finite-dimensional nilpotent k[T]-modules is isomorphic to the monoid of partitions (with addition of partitions). This gives us a simple method for computing generic extensions, by addition of partitions. Moreover we give a combinatorial algorithm that calculates the constant terms of classical Hall polynomials.

Kategorie tematyczne

• 16D10: General module theory
• 16G20: Representations of quivers and partially ordered sets
• 05A17: Partitions of integers
• 16G10: Representations of Artinian rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2012
• Tom: 128
• Numer: 2
• Strony: 253-261

Daty

wydano

2012

Twórcy

autor

Justyna Kosakowska

• Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Identyfikatory

DOI

10.4064/cm128-2-11