Campoamor-Stursberg, Rutwig2023-06-202023-06-202004Racah G 1949 Phys. Rev. 76 1365 Gruber B and O’Raifeartaigh L 1964 J. Math. Phys. 5 1796 Perelomov A M and Popov V S 1967 Yad. Fiz. 5 693 Perelomov A M and Popov V S 1966 Yad. Fiz. 3 924 Perelomov A M and Popov V S 1966 Yad. Fiz. 3 1127 Okubo S 1977 J. Math. Phys. 18 2382 Campoamor-Stursberg R 2003 J. Phys. A: Math. Gen. 36 1357 Campoamor-Stursberg R 2003 Phys. Lett. A 312 211 Quesne C 1987 Phys. Lett. B 188 1 Quesne C 1988 J. Phys. A: Math. Gen. 21 L321 Deenen J and Quesne C 1985 J. Math. Phys. 26 2705 Filippov G F, Ovcharenko V I and Smirnov Yu F 1981 Microscopic Theory of Collective Excitations of Atomic Nuclei (Kiev: Naukova Dumka) Behrends R E, Dreitlein J, Fronsdal C and Lee B W 1962 Rev. Mod. Phys. 34 1 Behrends R E and Sirlin A 1961 Phys. Rev. 121 324 Morrison I, Pieruschka P W and Wybourne B G 1991 J. Math. Phys. 32 356 Abellanas L and Alonso L M 1975 J. Math. Phys. 16 1580 Bincer A M and Riesselmann K 1993 J. Math. Phys. 34 5935 Bincer A M 1994 J. Phys. A: Math. Gen. 27 3847 Hughes J W B and Van der Jeugt J 1985 J. Math. Phys. 26 894 Campoamor-Stursberg R 2004 J. Phys. A: Math. Gen. 37 3627 Campoamor-Stursberg R 2004 Phys. Lett. A 327 138 Campoamor-Stursberg R 2004 Acta Phys. Pol. 35 2059 Karpelevich F I 1955 Trudy Moskov. Mat. Obshch. 3 112 Gruber B and Lorente M 1972 J. Math. Phys. 13 1639 Ndogmo J C 2004 J. Phys. A: Math. Gen. 37 5635 Weimar-Woods E 1995 J. Math. Phys. 36 4519 Turkowski P 1988 J. Math. Phys. 29 21390305-447010.1088/0305-4470/37/40/009https://hdl.handle.net/20.500.14352/50699We showthat the Casimir operators of the semidirect productsG2−→⊕2�(a,b)⊕�(0,0)h of the exceptional Lie algebraG2 and a Heisenberg algebra h can be constructed explicitly from the Casimir operators of G2.engjournal articlehttp://iopscience.iop.org/0305-4470/37/40/009/pdf/0305-4470_37_40_009.pdfhttp://iopscience.iop.org/open access512Álgebra1201 Álgebra