Integrable quantum spin chains, non-skew symmetric r-matrices and quasigraded Lie algebras

[摘要] Using general non-skew symmetric classical r-matrices with a spectral parameter, we construct new quantum spin chains that generalize famous Gaudin spin chains. With the help of the special quasigraded Lie algebras, we construct new examples of the non-skew symmetric classical r-matrices with a spectral parameter and explicit examples of new commuting Gaudin-type hamiltonians. (c) 2006 Elsevier B.V. All rights reserved.

[发布日期] 2006-12-31

[关键词] integrable systems;classical r-matrices;infinite-dimensional Lie algebras