In this paper we give a characterization of just infinite Lie subalgebras of a loop algebra in terms of the existence of certain ideals and in terms of the existence of certain nontrivial L-endomorphisms of positive degree. Such an algebra has a faithful representation of finite degree over the ring of polynomials with coefficients in the ground field, and is shown to be ideally r-constrained for a suitable r. An upper bound for r is given in the solvable case.
Just infinite periodic Lie algebras / N., Gavioli; Monti, Valerio; C. M., Scoppola. - STAMPA. - (2004), pp. 73-85. (Intervento presentato al convegno Proceedings of the Gainesville conference on finite groups, March 6-12, 2003 tenutosi a Gainesville nel March 2003).
Just infinite periodic Lie algebras
MONTI, Valerio;
2004
Abstract
In this paper we give a characterization of just infinite Lie subalgebras of a loop algebra in terms of the existence of certain ideals and in terms of the existence of certain nontrivial L-endomorphisms of positive degree. Such an algebra has a faithful representation of finite degree over the ring of polynomials with coefficients in the ground field, and is shown to be ideally r-constrained for a suitable r. An upper bound for r is given in the solvable case.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
