Generic extensions of nilpotent k[T]-modules, monoids of partitions and constant terms of Hall polynomials
classification
🧮 math.RT
keywords
partitionsconstantextensionsgenerichallmodulesmonoidnilpotent
read the original abstract
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). Moreover we give a combinatorial algorithm that calculates constant terms of classical Hall polynomials.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.