SLq(2,R) at roots of unity


Ahmedov H., Dayi O.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.32, sa.10, ss.1895-1907, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 32 Konu: 10
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1088/0305-4470/32/10/008
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
  • Sayfa Sayıları: ss.1895-1907

Özet

The quantum group SLq(2, R) at roots of unity is introduced by means of duality pairings with the quantum algebra U-q(sl(2, R)). Its irreducible representations corresponding to the a type of the quantum algebra are constructed through the universal T-matrix. The irreducible representations corresponding to the A type are also found. An invariant integral on this quantum group is given. Endowed with that some properties like unitarity and orthogonality of the irreducible representations are discussed.