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Unitary representations for the Schr{o}dinger-Virasoro Lie algebra

354   0   0.0 ( 0 )
 نشر من قبل Xiufu Zhang
 تاريخ النشر 2012
  مجال البحث
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In this paper, conjugate-linear anti-involutions and unitary Harish-Chandra modules over the Schr{o}dinger-Virasoro algebra are studied. It is proved that there are only two classes conjugate-linear anti-involutions over the Schr{o}dinger-Virasoro algebra. The main result of this paper is that a unitary Harish-Chandra module over the Schr{o}dinger-Virasoro algebra is simply a unitary Harish-Chandra module over the Virasoro algebra.



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