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

Justyna Kosakowska

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arXiv · 1109.2402

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

Justyna Kosakowska

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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.

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BibTeX RIS

Justyna Kosakowska. 2012-12-20. Generic extensions of nilpotent $k[T]$-modules, monoids of partitions and constant terms of Hall polynomials. https://arxiv.org/abs/1109.2402

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