### Abstract

In the present paper we start consideration of anti de Sitter holography in the general case of the (q + 1)-dimensional anti de Sitter bulk with boundary q-dimensional Minkowski space-time. We present the group-theoretic foundations that are necessary in our approach. Comparingwhat is done for q = 3 the newelement in the present paper is the presentation of the bulk space as the homogeneous space G/H = SO(q, 2)/SO(q, 1), which homogeneous space was studied by Sekiguchi.

Original language | English (US) |
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Title of host publication | Lie Theory and Its Applications in Physics |

Editors | Vladimir Dobrev |

Publisher | Springer New York LLC |

Pages | 413-421 |

Number of pages | 9 |

ISBN (Print) | 9789811026355 |

DOIs | |

State | Published - Jan 1 2016 |

Event | Proceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015 - Varna, Bulgaria Duration: Jun 15 2015 → Jun 21 2015 |

### Publication series

Name | Springer Proceedings in Mathematics and Statistics |
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Volume | 191 |

ISSN (Print) | 2194-1009 |

ISSN (Electronic) | 2194-1017 |

### Other

Other | Proceedings of the 11th International Workshop on Lie Theory and Its Applications in Physics, 2015 |
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Country | Bulgaria |

City | Varna |

Period | 6/15/15 → 6/21/15 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Dobrev, V., & Moylan, P. (2016). Anti de Sitter Holography via Sekiguchi decomposition. In V. Dobrev (Ed.),

*Lie Theory and Its Applications in Physics*(pp. 413-421). (Springer Proceedings in Mathematics and Statistics; Vol. 191). Springer New York LLC. https://doi.org/10.1007/978-981-10-2636-2_29