Symplectic Lie algebras with degenerate center

JOURNAL OF ALGEBRA

卷:521

Article

关键词: Symplectic Lie algebras;    Degenerate center;    Nilpotent;   

DOI  :  10.1016/j.jalgebra.2018.11.038

来源: Elsevier

【 摘 要 】

Every symplectic Lie algebra with degenerate (including non-abelian nilpotent symplectic Lie algebras) has the structure of a quadratic extension. We give a standard model and describe the equivalence classes on the level of corresponding quadratic cohomology sets. Finally, we give a scheme to classify the isomorphism classes of symplectic Lie algebras with degenerate center. We also give a classification scheme for nilpotent symplectic Lie algebras and compute a complete list of all 6-dimensional nilpotent symplectic Lie algebras, which removes inaccuracies in an older list. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free