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Mutually reciprocal «Contraction» and «Expansion» of certain lie algebras

В эаимнообратное «сокрашение» и «расщирение» определённых алгебр Ли

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Il Nuovo Cimento B (1965-1970)

Summary

A unified demonstration of expanding the Lie algebra ofIO(p, q) to that ofO(p+1,q) orO(p, q+1) and contracting the latter to the former is presented. It is shown that a corresponding scheme can be developed forIU(p, q) andU(p+1,q) orU(p, q+1).

Riassunto

Si presenta una dimostrazione unificata dello sviluppo dell’algebra di Lie diIO(p, q) in quella diO(p+1,q) oO(p, q+1) e della contrazione di quest’ultima nella prima. Si dimostra che si può sviluppare uno schema corrispondente perIU(p, q) eU(p+1,q) oU(p, q+1).

Реэюме

Проводится совместная демонстрация расщирения алгебры Ли для IO(p, q) к алгебре O(p+ 1,q) или О(p, q + 1) и сокрашение последней к первой. Покаэывается, что соответствуюшая схема может быть раэвита для IU(р, q) и U(p+1,q) или U(p, q+1).

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References

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Author notes

  1. J. Rosen

    Present address: Tel Aviv University, Israel

Authors and Affiliations

  1. Department of Physics, Boston University, Boston, Mass

    J. Rosen

  2. Physics Dept., Brown University, Providence, R.I.

    J. Rosen

Authors
  1. J. Rosen
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Additional information

Research sponsored by the U. S. Air Force under Grant No. AF-AFOSR-385-65.

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Rosen, J. Mutually reciprocal «Contraction» and «Expansion» of certain lie algebras. Nuovo Cimento B (1965-1970) 46, 1–6 (1966). https://doi.org/10.1007/BF02710632

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  • DOI: https://doi.org/10.1007/BF02710632

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