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UBC Theses and Dissertations
Classes of unimodular integral symmetric positive definite matrices Norton, Peter George
Abstract
It is shown that the number of classes of nonisometric lattices on the space of rational n-tuples is the same as the number of classes of n x n integral, symmetric, positive definite, unimodular matrices under integral congruence. A method is given to determine the number of classes of nonisometric lattices; this method is used to determine the number of classes for n↖ 16. A representative of each class of symmetric, integral, positive definite, unimodular 16x16 matrices is given.
Item Metadata
| Title |
Classes of unimodular integral symmetric positive definite matrices
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1964
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| Description |
It is shown that the number of classes of nonisometric lattices on the space of rational n-tuples is the same as the number of classes of n x n integral, symmetric, positive definite, unimodular matrices under integral congruence. A method is given to determine the number of classes of nonisometric lattices; this method is used to determine the number of classes for n↖ 16. A representative of each class of symmetric, integral, positive definite, unimodular 16x16 matrices is given.
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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2011-10-14
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| Provider |
Vancouver : University of British Columbia Library
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| 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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| DOI |
10.14288/1.0080537
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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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.