The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. I. Pure Ricci and pure Weyl invariants

Lim, Allan and Carminati, John 2004, The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. I. Pure Ricci and pure Weyl invariants, Journal of mathematical physics, vol. 45, no. 4, pp. 1673-1698.

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Title The determination of all syzygies for the dependent polynomial invariants of the Riemann tensor. I. Pure Ricci and pure Weyl invariants
Author(s) Lim, Allan
Carminati, John
Journal name Journal of mathematical physics
Volume number 45
Issue number 4
Start page 1673
End page 1698
Publisher American Institute of Physics
Place of publication New York, N.Y.
Publication date 2004-04
ISSN 0022-2488
1089-7658
Summary In this paper, we shall consider all pure Ricci and pure Weyl scalar invariants of any degree, in a four-dimensional Lorentzian space. We present a general graph-theoretic based reduction algorithm which decomposes, using syzygies, any pure invariant in terms of the independent base invariants {r1,r2,r3} or {w1,w2}
Language eng
Field of Research 010102 Algebraic and Differential Geometry
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2004, American Institute of Physics
Persistent URL http://hdl.handle.net/10536/DRO/DU:30002345

Document type: Journal Article
Collection: School of Information Technology
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