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Start Over Subject cohomology of nilpotent Lie algebras

1. A constructive method to determine the variety of filiform Lie algebras

Creator:
Echarte, F. J., Márquez, M. C., and Núñez, J.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
cohomology of nilpotent Lie algebras, graded filiform Lie algebras, variety of laws of filiform Lie algebras, irreducible component, and algorithm
Language:
English
Description:
In this paper we use cohomology of Lie algebras to study the variety of laws associated with filiform Lie algebras of a given dimension. As the main result, we describe a constructive way to find a small set of polynomials which define this variety. It allows to improve previous results related with the cardinal of this set. We have also computed explicitly these polynomials in the case of dimensions 11 and 12.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public