General Relativity and Quantum Cosmology
[Submitted on 23 Nov 2018 (v1), last revised 22 Mar 2019 (this version, v2)]
Title:On the number of terms in the Lovelock products
View PDFAbstract:In this short note we wonder about the explicit expression of the expanding of the $p$-th Lovelock product. We use the 1990's works of S. A. Fulling et al. on the symmetries of the Riemann tensor, and we show that the number of independent scalars appearing in this expanding is equal to the number of Young diagrams with all row lengths even in the decomposition of the $p$-th plethysm of the Young diagram representing the symmetries of the Riemann tensor.
Submission history
From: Xavier Lachaume [view email][v1] Fri, 23 Nov 2018 17:27:51 UTC (9 KB)
[v2] Fri, 22 Mar 2019 14:58:18 UTC (9 KB)
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