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Inner Ideals of Simple Locally Finite Lie Algebras

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posted on 27.03.2013, 12:16 by Jamie Robert Derek Rowley
Inner ideals of simple locally finite dimensional Lie algebras over an algebraically closed field of characteristic 0 are described. In particular, it is shown that a simple locally finite dimensional Lie algebra has a non-zero proper inner ideal if and only if it is of diagonal type. Regular inner ideals of diagonal type Lie algebras are characterized in terms of left and right ideals of the enveloping algebra. Regular inner ideals of finitary simple Lie algebras are described. Inner ideals of some finite dimensional Lie algebras are studied. Maximal inner ideals of simple plain locally finite dimensional Lie algebras are classified.

History

Supervisor(s)

Baranov, Alexander

Date of award

01/01/2013

Awarding institution

University of Leicester

Qualification level

Doctoral

Qualification name

PhD

Language

en

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