Publication: An alternative interpretation of the Beltrametti–Blasi formula by means of differential forms
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2004
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Abstract
The Beltrametti–Blasi formula that gives the number N(g) of functional independent invariants for the coadjoint
representation of a finite dimensional Lie algebra g admits a natural reformulation by means of the Maurer–Cartan equations associated to the algebra. This functional approach toN(g) turns out to be more convenient than the traditional matrix methods,and allows to obtain bounds of N(g) using only exterior products of the Maurer–Cartan equations of g, as well as to estimate the number of missing label operators. Applications to the problem of missing label operators, to the number of invariants of
various inhomogeneous Lie algebras and contractions of Lie algebras are given.
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F.W. Hehl, J.D. McCrea, E.W. Mielke, Y. Ne’eman, Phys.
Rep. 258 (1995) 1.
B.K. Harrison, F.B. Estabrook, J. Math. Phys. 12 (1971) 653.
B. Hernandez Bermejo, V. Fairen, Phys. Lett. A 241 (1998 148.
J.N. Pecina Cruz, J. Math. Phys. 35 (1994) 3146.
E.G. Beltrametti, A. Blasi, Phys. Lett. 20 (1966) 62.
G. Racah, Group Theory and Spectroscopy, Princeton Univ.
Press, Princeton, NJ, 1951.
A. Peccia, R.T. Sharp, J. Math. Phys. 17 (1976) 1313.
A.P. Demichev, N.F. Nelipa, Vestnik Mosk. Univ. Ser. III Fiz. Astron. 21 (1980) 23;
A.P. Demichev, N.F. Nelipa, M. Chaychian, Vestnik Mosk.
Univ. Ser. III Fiz. Astron. 21 (1980) 27.
R. Campoamor-Stursberg, J. Phys. A: Math. Gen. 35 (2002 6293;
R. Campoamor-Stursberg, J. Math. Phys. 43 (2003) 771.
R. Campoamor-Stursberg, J. Phys. A: Math. Gen. 36 (2003)1357.
P. Turkowski, Linear Algebra Appl. 171 (1992) 197.
C. Godbillon, Géométrie Différentielle et Mécanique Analitique, Hermann, Paris, 1968.
J. Patera, R.T. Sharp, P. Winternitz, H. Zassenhaus, J. Math.Phys. 17 (1976) 977.
R. Campoamor-Stursberg, Acta Phys. Pol. 34 (2003) 3901.
R. Campoamor-Stursberg, Phys. Lett. A 312 (2003) 211.
H. Bacry, J.-M. Lévy-Leblond, J. Math. Phys. 9 (1968) 1305.
Ya.H. Lykhmus, Predel’nye (szhatye) gruppy Li, Tartu, 1969