A note on representations of the finite Heisenberg group and sums of greatest common divisors

نویسندگان

  • Johannes Grassberger
  • Günther Hörmann
چکیده

Introducing the notation Xt := exp(itP),Ys := exp(isQ),Zr := exp(ir)I we can bring this into the form XtYs = ZstYsXt . Furthermore, we have the one-parameter group property Xt1+t2 = Xt1Xt2 (and similarly for Y and Z) and that Z commutes with X and Y . We observe that these relations still make sense when the parameters are elements of an arbitrary commutative ring. †currently visiting the Dept. of Mathematical and Computer Sciences, Colorado School of Mines, USA

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عنوان ژورنال:
  • Discrete Mathematics & Theoretical Computer Science

دوره 4  شماره 

صفحات  -

تاریخ انتشار 2001