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Irreducible finitary Lie algebras over fields of positive characteristic

  • FELIX LEINEN (a1) and ORAZIO PUGLISI (a2)

Abstract

A Lie subalgebra L of [gfr ][lfr ][ ](V) is said to be finitary if it consists of elements of finite rank. We study the situation when L acts irreducibly on the infinite-dimensional vector space V and show: if Char [ ] > 7, then L has a unique minimal ideal I. Moreover I is simple and L/I is solvable.

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Irreducible finitary Lie algebras over fields of positive characteristic

  • FELIX LEINEN (a1) and ORAZIO PUGLISI (a2)

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