Classification of osp(2|2) Lie Super-Bialgebras
Cezary Juszczak (Institute of Theoretical Physics, University of, Wroclaw, Wroclaw, Poland)
TL;DR
This paper classifies all coboundary co-Lie structures compatible with osp(2|2) Lie superalgebras and identifies the classical r-matrices, also extending the classification to osp(1|2)+u(1) super-bialgebras.
Contribution
It provides a complete classification of classical r-matrices for osp(2|2) and osp(1|2)+u(1) Lie super-bialgebras, revealing their coboundary nature.
Findings
All compatible co-Lie structures are coboundary types.
Classified classical r-matrices into disjoint families.
Extended classification to osp(1|2)+u(1) super-bialgebras.
Abstract
The co-Lie structures compatible with the osp(2|2) Lie super algebra structure are investigated and found to be all of coboundary type. The corresponding classical r-matrices are classified into several disjoint families. The osp(1|2)+u(1) Lie super-bialgebras are also classified.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons