Dérivations dans les algèbres gamétiques. II
type: Item
instance of: scholarly article
title: Dérivations dans les algèbres gamétiques. II
zbMATH Open document ID: 0549.17015
DOI: 10.1016/0024-3795(85)90274-5
author: Artibano Micali
author: Tânia M. M. Campos
author: Maria C. Costa e Silva
author: Silvia M. M. Ferreira
published in: Linear Algebra and its Applications
publication date: 1985-01-01T00:00:00Z
review text: This note continues the discussion of derivations of gametic algebras [\textit{R. Costa}, On the derivations of gametic algebras for polyploidy with multiple alleles, Bol. Soc. Bras. Mat. 13, No.2, 69-81 (1982), and part I by the same authors and R. Costa, Commun. Algebra 12, 239-243 (1984; Zbl 0534.17010)]. Its main theorem gives the structure of the Lie algebra of derivations of a diploid population with \(n+1\) alleles, and the solvability of this Lie algebra is considered. An interpretation of derivations in genetic terms would be of interest.
Mathematics Subject Classification ID: 17D92
Mathematics Subject Classification ID: 92D10
Mathematics Subject Classification ID: 17B40
zbMATH DE Number: 3875499
zbMATH Keywords: derivations of gametic algebras
zbMATH Keywords: multiple alleles
zbMATH Keywords: Lie algebra of derivations
zbMATH Keywords: diploid population
zbMATH Keywords: solvability
MaRDI profile type: Publication
full work available at URL: 0024-3795(85)90274-5
OpenAlex ID: W1991189563
cites work: On the derivations of gametic algebras for polyploidy with multiple alleles
cites work: Introduction to Lie Algebras and Representation Theory
cites work: Derivations dans les algebres gametiques
cites work: Q3869125
description: scientific article; zbMATH DE number 3875499