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

Justyna Kosakowska. "Generic extensions of nilpotent k[T]-modules, monoids of partitions and constant terms of Hall polynomials." Colloquium Mathematicae 128.2 (2012): 253-261. <http://eudml.org/doc/286662>.

@article{JustynaKosakowska2012,
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). 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.},
author = {Justyna Kosakowska},
journal = {Colloquium Mathematicae},
keywords = {generic extensions; monoids of partitions; Hall polynomials; Hall algebras; nilpotent modules; algorithms},
language = {eng},
number = {2},
pages = {253-261},
title = {Generic extensions of nilpotent k[T]-modules, monoids of partitions and constant terms of Hall polynomials},
url = {http://eudml.org/doc/286662},
volume = {128},
year = {2012},
}

TY - JOUR
AU - Justyna Kosakowska
TI - Generic extensions of nilpotent k[T]-modules, monoids of partitions and constant terms of Hall polynomials
JO - Colloquium Mathematicae
PY - 2012
VL - 128
IS - 2
SP - 253
EP - 261
AB - 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.
LA - eng
KW - generic extensions; monoids of partitions; Hall polynomials; Hall algebras; nilpotent modules; algorithms
UR - http://eudml.org/doc/286662
ER -