Nilpotent Lie and Leibniz Algebras

Chelsie Batten Ray,Alexander Combs,Nicole Gin,Allison Hedges,J. T. Hird,Laurie Zack

Nilpotent Lie and Leibniz Algebras

2014

Chelsie Batten Ray
Alexander Combs
Nicole Gin
Allison Hedges
J. T. Hird
Laurie Zack

We extend results on finite dimensional nilpotent Lie algebras to Leibniz algebras and counterexamples to others are found. One generator algebras are used in these examples and are investigated further.

Keywords:

Algebra
Killing form
Commutator
Representation of a Lie group
Non-associative algebra
Lie conformal algebra
Adjoint representation of a Lie algebra
Freudenthal magic square
Topology
Generalized Kac–Moody algebra
Mathematics
Affine Lie algebra
Nest algebra
Nilpotent group

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