Geometry of derivation with applications
著者
書誌事項
Geometry of derivation with applications
（Chapman & Hall/CRC financial mathematics series）
CRC Press, 2023
大学図書館所蔵 件 / 全1件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
内容説明・目次
内容説明
Connections with incidence geometry and non-commutative algebra.
Extensions to the flocks of quadrics and equivalent translation planes.
Skewfield extension of the theorem of Andre' over finite Desarguesian planes.
Features ideas used in coding theory via cyclic division algebras.
Great variety of new planes, quasifibrations and interconnecting geometries.
目次
Acknowledgements. Preface. Part 1. Classical theory of derivation. Chapter 1. Coordinate methods. Chapter 2. Embedding theory of derivable nets. Part 2. Classifying derivable nets over skewfields. Chapter 3. Fundamentals & background. Chapter 4. Classification theory over skewfields. Part 3. Types i of derivable nets. Chapter 5. The types. Part 4. Flocks of a-cones. Chapter 6. Klein quadric and generalization. Part 5. Flock geometries. Chapter 7. Related geometries. Part 6. Twisted hyerbolic flocks. Chapter 8. Hyperbolic flocks and generalizations. Part 7. Lifting. Chapter 9. Chains & surjectivity of degree 1/k. Lifting skewfields. Chapter 10. General theory. Part 9. Bilinearity. Chapter 11. General bilinear geometries. Part 10. Multiple replacement theorem. Chapter 12. The general theorem. Part 11. Classification of subplane covered nets. Chapter 13. Suspect subplane covered nets. Part 12. Extensions of skewfields. Chapter 14. Quaternion division ring extensions. Chapter 15. General ideas on Klein extensions. Bibliography. Index.
「Nielsen BookData」 より