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Modules for certain Lie algebras of maximal class

by D. Burde, F. Grunewald - J. Pure Appl. Algebra , 1995
"... Let g be a nite-dimensional Lie algebra over a eld k of characteristic zero. By Ado's Theorem it is known that there exists a faithful g- module M of nite dimension. Hence we may consider the following integer valued invariant of g: (g): = minfdimk M j M is a faithful g- moduleg: ..."
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Let g be a nite-dimensional Lie algebra over a eld k of characteristic zero. By Ado's Theorem it is known that there exists a faithful g- module M of nite dimension. Hence we may consider the following integer valued invariant of g: (g): = minfdimk M j M is a faithful g- moduleg:
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