caa a22 4500 469065869 CHVBK 20180323132908.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF02728487 doi (NATIONALLICENCE)springer-10.1007/BF02728487 Humi M. Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Road, 01609, Worcester, MA aut Lie algebras of first- and second-order operators [Elektronische Daten] [M. Humi] Summary: We investigate the possible Lie-algebraic structure(s) that can be imposed on the generatorsJ i of a Lie algebra combined with those of the formJ i J m . We show that for low-dimensional Lie algebras of physical interest such asO(3),O(3,1) andE(2) this program can be carried out successfully. Physically such a construction is of interest in the treatment of nonlinear Hamiltonians and the classification of their states. Società Italiana di Fisica, 1992 PACS 02.20 Group theory nationallicence Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/3(1992-03-01), 245-254 107:3<245 1992 107 40764 https://doi.org/10.1007/BF02728487 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02728487 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Humi M. Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Road, 01609, Worcester, MA aut NATIONALLICENCE 773 0- Il Nuovo Cimento B (1971-1996) Società Italiana di Fisica 107/3(1992-03-01), 245-254 107:3<245 1992 107 40764 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer