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Solvable Lie algebras with an N-graded nilradical of maximal nilpotency degree and their invariants

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http://iopscience.iop.org/1751-8121/43/14/145202/
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2010
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IOP Publishing Ltd
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Abstract
The class of solvable Lie algebras with an N-graded nilradical of maximal nilpotency index is classified. It is shown that such solvable extensions are unique up to isomorphism. The generalized Casimir invariants for the N-graded nilradicals and their associated solvable extensions are computed by the method of moving frames.
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Álgebra
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1201 Álgebra
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Iachello F 2006 Lie Algebras and Applications (New York: Springer) Petrov A Z 1969 Einstein Spaces (Oxford: Pergamon) Trofimov V V 1980 Izv. Akad. Nauk SSSR 44 1991 Okubo S 1998 J. Phys. A: Math. Gen. 31 7603 Andrianopoli L, D’Auria R, Ferrara S, Fré P and Trigante M 1997 Nucl. Phys. B 496 617 Patera J, Sharp R T, Winternitz P and Zassenhaus H 1976 J. Math. Phys. 17 986 Campoamor-Stursberg R 2005 Algebra Colloq. 12 497 Morozov V V 1958 Izv. Vys. Uchebn. Zav. Mat. 5 161 Mubarakzyanov G M 1963 Izv. Vys. Uchebn. Zav. Mat. 35 104 Mubarakzyanov G M 1966 Izv. Vys. Uchebn. Zav. Mat. 55 95 Turkowski R 1990 J. Math. Phys. 31 1344 Safiullina E N 1964 Math. Methods Phys. Izd. Kazan. Univ. 66 66 Turkowski P 1994 Acta Cosmologica 20 147 Snobl L and Winternitz P 2009 J. Phys. A: Math. Theor. 42 105201 Ballesteros A and Herranz F J 2007 J. Phys. A: Math. Theor. 40 F51 Ballesteros A and Herranz F J 2009 J. Phys. A: Math. Theor. 42 265205 Ballesteros A and Blasco A 2008 J. Phys. A: Math. Theor. 41 304028 Ndogmo J C 2000 J. Phys. A: Math. Gen. 33 2273 Pecina J N and Ne’eman Y 1996 Can. J. Phys. 72 466 Campoamor-Stursberg R 2002 J. Phys. A: Math. Gen. 35 6293 Campoamor-Stursberg R 2008 Phys. Atomic Nuclei 71 1 Tremblay S and Winternitz P 2001 J. Phys. A: Math. Gen. 34 9085 Ndogmo J C and Winternitz P 1994 J. Phys. A: Math. Gen. 27 2787 Tremblay S and Winternitz P 1998 J. Phys. A: Math. Gen. 31 789 Campoamor-Stursberg R 2003 J. Math. Phys. 44 771 Snobl L and Winternitz P 2005 J. Phys. A: Math. Gen. 38 2687 Ancochea J M, Campoamor-Stursberg R and Garcia Vergnolle L 2006 J. Phys. A: Math. Gen. 39 1339 Boyko V, Patera J and Popovych R 2007 J. Phys. A: Math. Theor. 40 7557 Boyko V, Patera J and Popovych R 2007 J. Phys. A: Math. Theor. 40 9783 Boyko V, Patera J and Popovych R 2008 Linear Algebra Appl. 428 834 Millionshchikov D V 2002 Uspekhi Mat. Nauk 57 197 Millionshchikov D V 2002 Russian Math. Surveys 57 422 (Engl. Transl.) Abellanas L and Martínez Alonso L 1975 J. Math. Phys. 16 1580 Beltrametti E G and Blasi A 1966 Phys. Lett. 20 62 Campoamor-Stursberg R 2004 Phys. Lett. A 327 138 Fels M and Olver P 1999 Acta Appl. Math. 55 127 Boyko V, Patera J and Popovych R 2006 J. Phys. A: Math. Gen. 39 5749 Rubin J and Winternitz P 1993 J. Phys. A: Math. Gen. 26 1123 Nijenhuis A and Richardson R W 1967 J. Math. Mech. 17 89 Weimar-Woods E 2008 J. Math. Phys. 49 033507 Ancochea Bermúdez J M 1988 Deformation Theory of Algebras and Structures and Applications (Dordrecht: Kluwer) pp 403 -45 Goncharova L V 1973 Funkts. Analiz i ego Pril. 7 6 Virasoro M A 1970 Phys. Rev. D 1 2933 Ancochea Bermúdez J M and Goze M 1992 Commun. Algebra 20 875 J. Phys. A: Math. Theor. 43 (2010) 145202 R Campoamor Stursberg Schimming R and Mundt E 1992 J. Math. Phys. 33 4250 Izmailova O V and Kozlov V V 1996 Vest. Mosk. Univ. Mekh. 51 12 Giveon A, Pelc O and Rabinovici E 1996 Nucl. Phys. B 462 53 Wang Y, Lin J and Deng S Q 2008 Commun. Algebra 36 4052 Snobl L and Karásek D 2010 Linear Algebra Appl. 432 1851
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https://hdl.handle.net/20.500.14352/43763
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