SLq(2, ℝ) at roots of unity

Hadji Ahmedov; Ömer F. Dayi

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

SL_q(2, ℝ) at roots of unity

Hadji Ahmedov^*
, Ömer F. Dayi

^*Bu çalışma için yazışmadan sorumlu yazar

Fizik Mühendisliği Bölümü

Bogazici University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

7 Atıf (Scopus)

Özet

The quantum group SL_q(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 B 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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1895-1907
Sayfa sayısı	13
Dergi	Journal of Physics A: Mathematical and General
Hacim	32
Basın numarası	10
DOI'lar	https://doi.org/10.1088/0305-4470/32/10/008
Yayın durumu	Yayınlandı - 12 Mar 1999

Belgeye Erişim

10.1088/0305-4470/32/10/008

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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AB - The quantum group SLq(2, ℝ) at roots of unity is introduced by means of duality pairings with the quantum algebra Uq(sl(2, ℝ)). Its irreducible representations corresponding to the B 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.

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