2012rowleyjrdphd.pdf (722.64 kB)
Inner Ideals of Simple Locally Finite Lie Algebras
thesis
posted on 2013-03-27, 12:16 authored by Jamie Robert Derek RowleyInner 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, AlexanderDate of award
2013-01-01Awarding institution
University of LeicesterQualification level
- Doctoral
Qualification name
- PhD