Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-26T00:51:59.506Z Has data issue: false hasContentIssue false
  • English
  • Français

Plücker Coordinates for Regular Chain Groups

Published online by Cambridge University Press:  20 November 2018

T. Kambayashi
T. Kambayashi*
Affiliation:
Northern Illinois University, DeKalb, Illinois
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

The theory of Plücker coordinates and Grassmann varieties is well-developed and well-known among the algebraic geometers. It gives a one-to-one correspondence between the set of all subspaces of a given dimension in the ambient projective space and the set of points on a certain projective algebraic variety called a Grassmann variety. The unacquainted can find the theory discussed in detail in Hodge-Pedoe [1, Chapters VII and XIV].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 1 , February 1973 , pp. 117 - 126
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Hodge, W. V. D. and Pedoe, D., Methods of algebraic geometry, 3 Vols. (Cambridge University Press, Cambridge, 1-1947, 11-1952, III-1954).Google Scholar
2. Minty, G. J., On the axiomatic foundations of the theories of directed linear graphs, electrical networks and network-programming, J. Math. Mech. 15 (1966), 485–520.Google Scholar
3. Tutte, W. T., A class of abelian groups, Can. J. Math. 8 (1956), 13–28.Google Scholar
4. Duffin, R. J., An analysis of the Wang algebra of networks, Trans. Amer. Math. Soc. 93 (1959), 114–131.Google Scholar
5. Gallai, T., ÜberreguläreKettengruppen, Acta Math. Acad. Sci. Hungar. 10 (1959), 227–240.Google Scholar
6. Tutte, W. T., Introduction to the theory of matroids (American Elsevier Publishing Co., New York, 1971).Google Scholar