an:03900998
Zbl 0565.17014
Ringwood, G. A.
Hypergeometric algebras and Mendelian genetics
EN
Nieuw Arch. Wiskd., IV. Ser. 3, 69-83 (1985).
0028-9825
1985
j
17D92 92D10
expository article; hypergeometric algebra; polyploidy algebra; genetic algebra; duplication; linkage; mutation; selection
This paper is mainly expository. The author first defines the concept of hypergeometric algebra. This is essentially the same as a polyploidy algebra. He notes that such an algebra is a genetic algebra. The author then gives a brief discussion of background from genetics. After that he discusses duplication, algebras arising from linkage, mutation, and selection. All the above cases except that of selection lead to genetic algebras and have been studied extensively in the literature. As the author points out, selection is more complicated and does not lead to genetic algebras.
H.Gonshor