Let U be an n-dimensional vector space over an
algebraically closed field. Let [formula omitted] denote the [formula omitted]
space spanned by all Grassmann products [formula omitted].
Subsets of vectors of [formula omitted] denoted by [formula omitted] and [formula omitted]
are defined as follows [formula omitted]. A vector which is in [formula omitted] or is zero is called
pure or decomposable. Each vector in [formula omitted] is said to have
rank one. Similarly each vector in [formula omitted] has rank two.
A subspace of H of [formula omitted] is called a rank two subspace If [formula omitted] is contained in [formula omitted].
In this thesis we are concerned with investigating rank
two subspaces. The main results are as follows:
If dim [formula omitted] such that every nonzero vector [formula omitted] is independent
in U.
The rank two subspaces of dimension less than four
are also characterized. / Science, Faculty of / Mathematics, Department of / Graduate
| Identifer | oai:union.ndltd.org:UBC/oai:circle.library.ubc.ca:2429/41206 |
| Date | January 1967 |
| Creators | Lim, Marion Josephine Sui Sim |
| Publisher | University of British Columbia |
| Source Sets | University of British Columbia |
| Language | English |
| Detected Language | English |
| Type | Text, Thesis/Dissertation |
| Rights | For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use. |
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