Algebras in Genetics

  • Angelika Wörz-Busekros

Part of the Lecture Notes in Biomathematics book series (LNBM, volume 36)

Table of contents

  1. Front Matter
    Pages N2-VI
  2. Angelika Wörz-Busekros
    Pages 1-4
  3. Angelika Wörz-Busekros
    Pages 5-16
  4. Angelika Wörz-Busekros
    Pages 17-33
  5. Angelika Wörz-Busekros
    Pages 85-102
  6. Angelika Wörz-Busekros
    Pages 103-130
  7. Angelika Wörz-Busekros
    Pages 131-175
  8. Angelika Wörz-Busekros
    Pages 176-202
  9. Angelika Wörz-Busekros
    Pages 203-226
  10. Back Matter
    Pages 227-241

About this book

Introduction

The purpose of these notes is to give a rather complete presentation of the mathematical theory of algebras in genetics and to discuss in detail many applications to concrete genetic situations. Historically, the subject has its origin in several papers of Etherington in 1939- 1941. Fundamental contributions have been given by Schafer, Gonshor, Holgate, Reiers¢l, Heuch, and Abraham. At the moment there exist about forty papers in this field, one survey article by Monique Bertrand from 1966 based on four papers of Etherington, a paper by Schafer and Gonshor's first paper. Furthermore Ballonoff in the third section of his book "Genetics and Social Structure" has included four papers by Etherington and Reiers¢l's paper. Apparently a complete review, in par­ ticular one comprising more recent results was lacking, and it was difficult for students to enter this field of research. I started to write these notes in spring 1978. A first german version was finished at the end of that year. Further revision and translation required another year. I hope that the notes in their present state provide a reasonable review and that they will facilitate access to this field. I am especially grateful to Professor K. -P. Hadeler and Professor P. Holgate for reading the manuscript and giving essential comments to all versions of the text. I am also very grateful to Dr. I. Heuch for many discussions during and after his stay in TUbingen. I wish to thank Dr. V. M.

Keywords

Algebras Vererbung algebra breeding genetics heredity paper polyploidy segregation structure translation

Authors and affiliations

  • Angelika Wörz-Busekros
    • 1
  1. 1.Lehrstuhl für BiomathematikUniversität TübingenTübingen 1Federal Republic of Germany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-51038-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1980
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-09978-9
  • Online ISBN 978-3-642-51038-0
  • Series Print ISSN 0341-633X
  • About this book