RT Journal Article T1 Intrinsic formulae for the Casimir operators of semidirect products of the exceptional Lie algebra G2 and a Heisenberg Lie algebra A1 Campoamor-Stursberg, Rutwig AB We 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. PB IOP Publishing SN 0305-4470 YR 2004 FD 2004 LK https://hdl.handle.net/20.500.14352/50699 UL https://hdl.handle.net/20.500.14352/50699 LA eng NO Racah G 1949 Phys. Rev. 76 1365Gruber B and O’Raifeartaigh L 1964 J. Math. Phys. 5 1796Perelomov A M and Popov V S 1967 Yad. Fiz. 5 693Perelomov A M and Popov V S 1966 Yad. Fiz. 3 924Perelomov A M and Popov V S 1966 Yad. Fiz. 3 1127Okubo S 1977 J. Math. Phys. 18 2382Campoamor-Stursberg R 2003 J. Phys. A: Math. Gen. 36 1357Campoamor-Stursberg R 2003 Phys. Lett. A 312 211Quesne C 1987 Phys. Lett. B 188 1Quesne C 1988 J. Phys. A: Math. Gen. 21 L321Deenen J and Quesne C 1985 J. Math. Phys. 26 2705Filippov 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 1Behrends R E and Sirlin A 1961 Phys. Rev. 121 324Morrison I, Pieruschka P W and Wybourne B G 1991 J. Math. Phys. 32 356Abellanas L and Alonso L M 1975 J. Math. Phys. 16 1580Bincer A M and Riesselmann K 1993 J. Math. Phys. 34 5935Bincer A M 1994 J. Phys. A: Math. Gen. 27 3847Hughes J W B and Van der Jeugt J 1985 J. Math. Phys. 26 894Campoamor-Stursberg R 2004 J. Phys. A: Math. Gen. 37 3627Campoamor-Stursberg R 2004 Phys. Lett. A 327 138Campoamor-Stursberg R 2004 Acta Phys. Pol. 35 2059Karpelevich F I 1955 Trudy Moskov. Mat. Obshch. 3 112Gruber B and Lorente M 1972 J. Math. Phys. 13 1639Ndogmo J C 2004 J. Phys. A: Math. Gen. 37 5635Weimar-Woods E 1995 J. Math. Phys. 36 4519Turkowski P 1988 J. Math. Phys. 29 2139 DS Docta Complutense RD 4 may 2024