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Biometric and chromosome algebras

Part of: Other nonassociative rings and algebras

Published online by Cambridge University Press:  14 July 2016

Philip Holgate
Philip Holgate*
Affiliation:
Birkbeck College
*
∗Postal address: Department of Mathematics and Statistics, Birkbeck College, University of London, Malet St, London WC1E 7HX, UK.
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Abstract

This note continues the development of the infinite-dimensional genetic algebra approach to problems of population genetics. Two algebras are studied. One describes the familiar problem of a quantitative characteristic, and the other provides a way of treating the whole chromosome as an entity.

Keywords

POPULATION GENETICSGENETIC ALGEBRABIOMETRICAL GENETICSRECOMBINATION

MSC classification

Primary: 17D92: Genetic algebras
Secondary: 92D10: Genetics
Type
Research Papers
Information
Journal of Applied Probability , Volume 29 , Issue 2 , June 1992 , pp. 247 - 254
Copyright
Copyright © Applied Probability Trust 1992 

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References

[1] Holgate, P. (1979) Canonical multiplication in the genetic algebra for linked loci. Linear Alg. Appl. 26, 281–287.CrossRefGoogle Scholar
[2] Holgate, P. (1981) Population algebras. J. R. Statist. Soc. B43, 1–19.Google Scholar
[3] Holgate, P. (1984) Free non-associative principal train algebras. Proc. Edinburgh Math. Soc. (2) 27, 313–319.Google Scholar
[4] Holgate, P. (1989) Some infinite dimensional genetic algebras. Cahiers Math. 38, 35–45.Google Scholar
[5] Reiersøl, O. (1962) Genetic algebras studied recursively and by means of differential operators. Math. Scandinavica 10, 25–44.CrossRefGoogle Scholar
[6] Ringwood, G. A. (1985) Hypergeometric algebras and mendelian genetics. Nieuw Arch. Wiskunde (4) 3, 69–83.Google Scholar
[7] Ringwood, G. A. (1985) The structure of Poisson algebras. IMA J. Math. Appl. Med. Biol. 2, 69–73.CrossRefGoogle Scholar
[8] Wörz-Busekros, A. (1980) Algebras in Genetics. Lecture Notes in Biomathematics 36, Springer-Verlag, New York.Google Scholar