THE THEORY OF REPRESENTATIONS OF GROUPS SO0 2; 1  AND ISO 2; 1 . WIGNER COEFFICIENTS OF THE GROUP SO0 2; 1

B. A. RAJABOV

Makale detayları

THE THEORY OF REPRESENTATIONS OF GROUPS SO0 2; 1 AND ISO 2; 1 . WIGNER COEFFICIENTS OF THE GROUP SO0 2; 1

Yazarlar:

B. A. RAJABOV

Yayıncı:

Turkic World Mathematical Society

Ana Başlıklar:

Matematik

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2018 Vol.8 Issue 2, pp.362-373

Belge Tipi:

Makale

Yayın Tarihi:

11/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000805708

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147

Özet:

 

This paper is devoted to the representations of the groups SO 2; 1  and ISO 2; 1 . Those groups have an important role in cosmology, elementary particle theory and mathematical physics. Irreducible unitary representations of the principal continuous and supplementary as well as discrete series were obtained. Explicit expressions for spherical functions of the group SO0 2; 1  are obtained through the Gauss hypergeometric functions. The Wigner coecients of the group SO0 2; 1  were computed and their explicit expressions using the bilateral series were represented. The results could be used to study the non-degenerate representations of the de Sitter group SO 3; 2 .

Makale detayları

THE THEORY OF REPRESENTATIONS OF GROUPS SO0 2; 1 AND ISO 2; 1 . WIGNER COEFFICIENTS OF THE GROUP SO0 2; 1

Yazarlar: B. A. RAJABOV

Yayıncı: Turkic World Mathematical Society

Ana Başlıklar: Matematik

Dergi: TWMS Journal of Applied and Engineering Mathematics 2018 Vol.8 Issue 2, pp.362-373

Belge Tipi: Makale

Yayın Tarihi: 11/2018

Belge Dili: İngilizce

Document ID (Org No.): 2000805708

Sıklık: Aylık

eISSN: 2587-1013

pISSN: 2146-1147

Sayı

Yazarlar:

B. A. RAJABOV

Yayıncı:

Turkic World Mathematical Society

Ana Başlıklar:

Matematik

Dergi:

TWMS Journal of Applied and Engineering Mathematics 2018 Vol.8 Issue 2, pp.362-373

Belge Tipi:

Makale

Yayın Tarihi:

11/2018

Belge Dili:

İngilizce

Document ID (Org No.):

2000805708

Sıklık:

Aylık

eISSN:

2587-1013

pISSN:

2146-1147