RT Journal Article
T1 A new matrix method for the Casimir operators of the Lie algebras wsp (N,R) and Isp (2N,R)
A1 Campoamor-Stursberg, Rutwig
AB A method is given to determine the Casimir operators of the perfect Lie algebras wsp (N,R) = sp (2N,R)−→⊕Γω1⊕Γ0hN and the inhomogeneous Lie algebrasIsp (2N,R) in terms of polynomials associated to a parametrized (2N + 1)×(2N + 1)-matrix. For the inhomogeneous symplectic algebras this matrix is shown to be associated to a faithful representation.The method is extended to other classes of Lie algebras, and some applications to the missing label problem are given.
PB IOP Publishing
SN 0305-4470
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/50698
UL https://hdl.handle.net/20.500.14352/50698
LA eng
NO Rowe D, Rosensteel G and Carr R 1984 J. Phys. A: Math. Gen. 17 L399Quesne C 1987 Phys. Lett. B 188 1Kibler M 2004 Mol. Phys. at pressHagen C R 1972 Phys. Rev. D 5 377Campoamor-Stursberg R 2003 Phys. Lett. A 312 211Campoamor-Stursberg R 2004 J. Phys. A: Math. Gen. 37 3627Campoamor-Stursberg R 2004 Acta Phys. Pol. B 35 2059Gel’fand I M 1950 Mat. Sb. 26 103Abellanas L and Martinez Alonso L 1975 J. Math. Phys. 16 1580Campoamor-Stursberg R 2004 Phys. Lett. A 327 138Gilmore R 1974 Lie Groups, Lie Algebras and Some of Their Applications (New York: Wiley Interscience)Burdik C 1986 J. Phys. A: Math. Gen. 19 2465Quesne C 1988 J. Phys. A: Math. Gen. 21 L321Campoamor-Stursberg R 2004 J. Phys. A: Math. Gen. 37 9451Soares Barbosa M and de Sousa Bernardes E 2004 J. Phys. A: Math. Gen. 37 4797Tolar J and Trávnicek P 1997 J. Math. Phys. 38 501Klein A and Marshalek E R 1991 Rev. Mod. Phys. 63 375Perelomov A M and Popov V S 1967 Yad. Fiz 5 693Gruber B and O’Raifeartaigh L 1964 J. Math. Phys. 5 1796Rosen J 1968 J. Math. Phys. 9 1305Perelomov A M and Popov V S 1968 Izv. Akad. Nauk SSSR 32 1368Weimar-Woods E 2000 Rev. Math. Phys. 12 1505Demichev A P, Nelipa N F and Chai’chian M 1980 Vestnik Moskov. Univ. Ser. III Fiz. Astron. 21 27Niederer U 1972 Helv. Phys. Acta 45 802Barut A O and Xu B-W 1981 Phys. Lett. A 82 218Dobrev V K, Doebner H D and Mrugalla Ch 1997 Rep. Math. Phys. 39 201Barannik L F and Fushchych W I 1986 Teoretiko-gruppovye metody v fizike (Moscow: Nauka) p 176Herranz F J and Santander M 1997 J. Phys. A: Math. Gen. 30 5411Peccia A and Sharp R T 1976 J. Math. Phys. 17 1313Racah G 1950 Atti Accad. Naz. Lincei. 8 108Cerkaski M 1987 J. Math. Phys. 28 989
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