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Campoamor Stursberg, Otto Ruttwig | Institute of Mathematics of National Academy of Science of Ukraine | 2006We briefly review a matrix based method to compute the Casimir operators of Lie algebras, mainly certain type of contractions of simple Lie algebras. The versatility of the method is illustrated by constructing matrices whose characteristic poly[...]texto impreso
Enciso, Alberto ; Finkel Morgenstern, Federico ; González López, Artemio ; Rodríguez González, Miguel Ángel | Institute of Mathematics of National Academy of Science of Ukraine | 2006-11-03We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial modification of the excha[...]
