SLq(2,R) at roots of unity

Ahmedov, H; Dayi, Ömer

doi:10.1088/0305-4470/32/10/008

SLq(2,R) at roots of unity

Atıf İçin Kopyala

Ahmedov H., Dayi O.

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

Yayın Türü: Makale / Tam Makale
Cilt numarası: 32 Sayı: 10
Basım Tarihi: 1999
Doi Numarası: 10.1088/0305-4470/32/10/008
Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1895-1907
İstanbul Teknik Üniversitesi Adresli: Hayır

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.