Structure of a new class of non-graded infinite dimensional simple Lie algebras

Mathematics – Quantum Algebra

Scientific paper

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16 pages

Scientific paper

A new class of infinite dimensional simple Lie algebras over a field with
characteristic 0 are constructed. These are examples of non-graded Lie
algebras. The isomorphism classes of these Lie algebras are determined. The
structure space of these algebras is given explicitly.

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