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R-matrices for highest weight representations of s-circumflexl{sub q}(2,C) at roots of unity

Technical Report:

Abstract

The general formula is obtained for R-matrices of s-circumflexl{sub q}(2,C) for the highest weight representations both for general q and for q being a root of unity by generalizing G. Gomez`s and Sierra`s one for semiperiodic representations of s-circumflexl{sub q}(2,C) at roots of unity. In a case of general q, direct matrix form is obtained for the well known Jimbo`s R-matrix. In a case of q{sup N}=1 for semiperiodic and spin j<(N-1)/2 representations the new R-matrices are obtained which together with Jimbo`s one obey the spectral parameter dependent Yang-Baxter equations. (author) 16 refs.
Authors:
Hakobyan, T S; [1]  Sedrakyan, A G
  1. Yerevan State Univ. (Argentina)
Publication Date:
Oct 01, 1992
Product Type:
Technical Report
Report Number:
LAPP-A-406-92
Reference Number:
SCA: 662110; PA: AIX-25:003974; EDB-94:015641; ERA-19:005597; NTS-94:014776; SN: 93001121016
Resource Relation:
Other Information: PBD: Oct 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; R MATRIX; SL GROUPS; CONFORMAL GROUPS; IRREDUCIBLE REPRESENTATIONS; NONUNITARY REPRESENTATIONS; QUANTUM FIELD THEORY; SPIN; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10109829
Research Organizations:
Grenoble-1 Univ., 74 - Annecy (France). Lab. de Physique des Particules Elementaires
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Other: ON: DE94609605; TRN: FR9303129003974
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
9 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Hakobyan, T S, and Sedrakyan, A G. R-matrices for highest weight representations of s-circumflexl{sub q}(2,C) at roots of unity. France: N. p., 1992. Web.
Hakobyan, T S, & Sedrakyan, A G. R-matrices for highest weight representations of s-circumflexl{sub q}(2,C) at roots of unity. France.
Hakobyan, T S, and Sedrakyan, A G. 1992. "R-matrices for highest weight representations of s-circumflexl{sub q}(2,C) at roots of unity." France.
@misc{etde_10109829,
title = {R-matrices for highest weight representations of s-circumflexl{sub q}(2,C) at roots of unity}
author = {Hakobyan, T S, and Sedrakyan, A G}
abstractNote = {The general formula is obtained for R-matrices of s-circumflexl{sub q}(2,C) for the highest weight representations both for general q and for q being a root of unity by generalizing G. Gomez`s and Sierra`s one for semiperiodic representations of s-circumflexl{sub q}(2,C) at roots of unity. In a case of general q, direct matrix form is obtained for the well known Jimbo`s R-matrix. In a case of q{sup N}=1 for semiperiodic and spin j<(N-1)/2 representations the new R-matrices are obtained which together with Jimbo`s one obey the spectral parameter dependent Yang-Baxter equations. (author) 16 refs.}
place = {France}
year = {1992}
month = {Oct}
}