Generic extensions of nilpotent $k[T]$-modules, monoids of partitions and constant terms of Hall polynomials
Colloquium Mathematicum, Tome 128 (2012) no. 2, pp. 253-261
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
prove monoid generic extensions finite dimensional nilpotent modules isomorphic monoid partitions addition partitions gives nbsp simple method computing generic extensions addition partitions moreover nbsp combinatorial algorithm calculates constant terms classical hall polynomials
Affiliations des auteurs :
Justyna Kosakowska 1
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author = {Justyna Kosakowska},
title = {Generic extensions of nilpotent $k[T]$-modules, monoids of partitions and constant terms of {Hall} polynomials},
journal = {Colloquium Mathematicum},
pages = {253--261},
publisher = {mathdoc},
volume = {128},
number = {2},
year = {2012},
doi = {10.4064/cm128-2-11},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm128-2-11/}
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Justyna Kosakowska. Generic extensions of nilpotent $k[T]$-modules, monoids of partitions and constant terms of Hall polynomials. Colloquium Mathematicum, Tome 128 (2012) no. 2, pp. 253-261. doi: 10.4064/cm128-2-11
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