Minimal algebras and 2-step nilpotent Lie algebras in dimension 7

作者：Bazzoni Giovanni^*

来源：Geometriae Dedicata, 2013, 165(1): 111-133.

DOI：10.1007/s10711-012-9744-y

• Nilmanifolds
• Rational homotopy
• Nilpotent Lie algebras
• Minimal model

We use the methods of Bazzoni and Muoz (Trans Am Math Soc 364:1007-1028, 2012) to give a classification of 7-dimensional minimal algebras, generated in degree 1, over any field of characteristic , whose characteristic filtration has length 2. Equivalently, we classify 2-step nilpotent Lie algebras in dimension 7. This classification also recovers the real homotopy type of 7-dimensional 2-step nilmanifolds.

• 出版日期2013-8