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

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

2011-09-12

arxiv.org/abs/1109.2402v1

Mathematics

Representation Theory

Scientific paper

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.

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