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"Representations of \U0001D4A2+++ and the role of space-time" .
_:Na1909337e911477491b3bc8b383671c4 _:N91d1b1eb7f2d42e3add2315c5743fe2f .
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"http://iopscience.iop.org/article/10.1088/1126-6708/2004/02/033/meta" .
"We consider the decomposition of the adjoint and fundamental representations of very extended Kac-Moody algebras +++ with respect to their regular A type subalgebra which, in the corresponding non-linear realisation, is associated with gravity. We find that for many very extended algebras almost all the A type representations that occur in the decomposition of the fundamental representations also occur in the adjoint representation of +++. In particular, for E8+++, this applies to all its fundamental representations. However, there are some important examples, such as AN\u22123+++, where this is not true and indeed the adjoint representation contains no generator that can be identified with a space-time translation. We comment on the significance of these results for how space-time can occur in the non-linear realisation based on +++. Finally we show that there is a correspondence between the A representations that occur in the fundamental representation associated with the very extended node and the adjoint representation of +++ which is consistent with the interpretation of the former as charges associated with brane solutions." .
_:Nee548b7fa9c24791a1d09302fc0e6b06 "pub.1011603707" .
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_:Na1909337e911477491b3bc8b383671c4 .
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"1029-8479" .
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"033" .
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_:N21612e8d36ef4cab9ed0ed5055671c8d "2004" .
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_:N84495137a3ec425fb8baeb8cf0916a68 .
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_:Na1909337e911477491b3bc8b383671c4 .
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"Mathematical Sciences" .
_:Nccd101eec6a94444af05a97f0a8527c3 "10.1088/1126-6708/2004/02/033" .
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"1126-6708" .
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"University of Cambridge" .
"King's College London" .
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_:N21612e8d36ef4cab9ed0ed5055671c8d .
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"https://scigraph.springernature.com/explorer/license/" .
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_:N84495137a3ec425fb8baeb8cf0916a68 .
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"research_article" .
_:N21612e8d36ef4cab9ed0ed5055671c8d .
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_:Neec1037837c04cca96e4f31905b6eb20 "37492f251a6c50feb0370b4bdfadd1f0cd3724c17866a2017beb2423f12e7e4d" .
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"Journal of High Energy Physics" .
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"Pure Mathematics" .
_:N91d1b1eb7f2d42e3add2315c5743fe2f .
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"true"^^ .
"Department of Mathematics, King's College, London WC2R 2LS, U.K." .
"Peter" .
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_:N91d1b1eb7f2d42e3add2315c5743fe2f