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Syzygies of the polynomial invariants of the Riemann tensor

Lim, Allan Eng Kian. 2008, Syzygies of the polynomial invariants of the Riemann tensor, Ph.D. thesis, School of Engineering and Information Technology, Deakin University.


Title Syzygies of the polynomial invariants of the Riemann tensor
Author Lim, Allan Eng Kian.
Institution Deakin University
School School of Engineering and Information Technology
Faculty Faculty of Science and Technology
Degree name Ph.D.
Date submitted 2008
Keyword(s) Syzygies (Mathematics)
Polynomials
Calculus of tensors
Invariants
Summary This thesis introduces a novel way of writing polynomial invariants as network graphs, and applies this diagrammatic notation scheme, in conjunction with graph theory, to derive algorithms for constructing relationships (syzygies) between different invariants. These algorithms give rise to a constructive solution of a longstanding classical problem in invariant theory.
Language eng
Description of original v, 241 leaves ; 30 cm.
Dewey Decimal Classification 512.9422
Persistent URL http://hdl.handle.net/10536/DRO/DU:30027299

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Created: Thu, 01 Apr 2010, 15:56:48 EST

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