论文标题

西加尔的宫缩,广告和形成群体

Segal's contractions, AdS and conformal groups

论文作者

Sternheimer, Daniel

论文摘要

对称性及其应用总是在IS中发挥重要作用西加尔的工作。我将以他的正确证明(在谎言组的层面上)的正确证明,即物理学家所说的``o'raifeartaigh定理''的例子,继续他的偶然介绍(1953年)(1953年)inönü-宽角宫缩,在ads(poincare(so(2,3)中,他的兴趣概念概念是他的上一个概况,往来,他的兴趣是一定的。 60年代的Flato和他在最后一部分中与他进行了许多富有成果的互动,我将这些兴趣与我们的几个兴趣联系在一起,尤其是基本粒子对称性和变形量化,并与持续的程序结合在一起。

Symmetries and their applications always played an important role in I.E. Segal's work. I shall exemplify this, starting with his correct proof (at the Lie group level) of what physicists call the ``O'Raifeartaigh theorem", continuing with his incidental introduction in 1951 of the (1953) Inönü--Wigner contractions, of which the passage from AdS (SO(2,3)) to Poincaré is an important example, and with his interest in conformal groups in the latter part of last century. Since the 60s Flato and I had many fruitful interactions with him around these topics. In a last section I succinctly relate these interests in symmetries with several of ours, especially elementary particles symmetries and deformation quantization, and with an ongoing program combining both.

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