On the number of terms in the Lovelock products
Abstract In this short note we wonder about the explicit expression of the expanding of the p-th Lovelock product. We use the 1990s’ 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 n...
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SpringerOpen
2019-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-6776-6 |
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doaj-0c0fae85aa5f4c9ca89e523f74142b0f2020-11-25T02:56:41ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-03-017931410.1140/epjc/s10052-019-6776-6On the number of terms in the Lovelock productsXavier Lachaume0Institut Denis Poisson, Université de Tours-Université d’Orléans-UMR 7013 du CNRSAbstract In this short note we wonder about the explicit expression of the expanding of the p-th Lovelock product. We use the 1990s’ 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.http://link.springer.com/article/10.1140/epjc/s10052-019-6776-6 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Xavier Lachaume |
| spellingShingle |
Xavier Lachaume On the number of terms in the Lovelock products European Physical Journal C: Particles and Fields |
| author_facet |
Xavier Lachaume |
| author_sort |
Xavier Lachaume |
| title |
On the number of terms in the Lovelock products |
| title_short |
On the number of terms in the Lovelock products |
| title_full |
On the number of terms in the Lovelock products |
| title_fullStr |
On the number of terms in the Lovelock products |
| title_full_unstemmed |
On the number of terms in the Lovelock products |
| title_sort |
on the number of terms in the lovelock products |
| publisher |
SpringerOpen |
| series |
European Physical Journal C: Particles and Fields |
| issn |
1434-6044 1434-6052 |
| publishDate |
2019-03-01 |
| description |
Abstract In this short note we wonder about the explicit expression of the expanding of the p-th Lovelock product. We use the 1990s’ 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. |
| url |
http://link.springer.com/article/10.1140/epjc/s10052-019-6776-6 |
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AT xavierlachaume onthenumberoftermsinthelovelockproducts |
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