Publication: Intrinsic formulae for the Casimir operators of semidirect products of the exceptional Lie algebra G2 and a Heisenberg Lie algebra
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Publication Date
2004
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IOP Publishing
Abstract
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.
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Racah 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 2139