Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]

Dancer, K. A., Gould, M. D. and Links, J. (2006) Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]. Journal of Statistical Mechanics: Theory and Experiment, 6: P06011-1-P06011-19. doi:10.1088/1742-5468/2006/06/P06011


Author Dancer, K. A.
Gould, M. D.
Links, J.
Title Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]
Formatted title
Lax operator for the quantized orthosymplectic superalgebra Uq[osp(2|n)]
Journal name Journal of Statistical Mechanics: Theory and Experiment   Check publisher's open access policy
ISSN 1742-5468
Publication date 2006-06-01
Sub-type Article (original research)
DOI 10.1088/1742-5468/2006/06/P06011
Issue 6
Start page P06011-1
End page P06011-19
Total pages 19
Editor Mikko Alava
Tapio-Ala-Nissila
Alcaraz Fransisco
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Language eng
Subject 010501 Algebraic Structures in Mathematical Physics
C1
230103 Rings And Algebras
230199 Mathematics not elsewhere classified
780101 Mathematical sciences
Formatted abstract
Each quantum superalgebra is a quasi-triangular Hopf superalgebra, so contains a universal R-matrix in the tensor product algebra which satisfies the Yang - Baxter equation. Applying the vector representation p, which acts on the vector module V, to one side of a universal R-matrix gives a Lax operator. In this paper a Lax operator is constructed for the C-type quantum superalgebras U-q[osp(2 vertical bar n)]. This is achieved without reference to the specific details of the universal R-matrix, but instead appealing to the co-product structure of U-q[osp(2 vertical bar n)]. The result can in turn be used to find a solution to the Yang Baxter equation acting on V circle times V circle times W, where W is an arbitrary U-q[osp(2 vertical bar n)] module. The case W = V is included here as an example.
Keyword Algebraic structures of integrable models
Symmetries of integrable models
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ
Additional Notes Article number P06011

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Physical Sciences Publications
 
Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 2 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 1 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Tue, 14 Aug 2007, 02:21:45 EST