q-Fourier transform, q-Heisenberg algebra and quantum group actions
by Wong Ming Lai
vii, 53 leaves ; 30 cm
For q being a N-th root of unity, we introduce a q-Fourier transform on certain spaces, and we prove it has similar properties of the classical Fourier transform and the q-Fourier transform introduced in  when q is not a root of unity. The second result of this thesis is a construction of quantum group Uq(sl2)-action on the q-Heisenberg algebra, which generalizes the well-known action of Lie algebra sl2 on the Heisenberg algebra.
Permanent URL for this record: https://lbezone.hkust.edu.hk/bib/b796146