Plucker-type relations for orthogonal planes
Plucker-type relations for orthogonal planes
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DOI：
10.1016/s0393-0440(03)00093-7
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发表时间：
2002-11
影响因子：
1.5
通讯作者：
J. Figueroa-O’Farrill;G. Papadopoulos
中科院分区：
文献类型：
--
作者：
J. Figueroa-O’Farrill;G. Papadopoulos
We explore a Plücker-type relation which occurs naturally in the study of maximally supersymmetric solutions of certain supergravity theories. This relation generalises at the same time the classical Plücker relation and the Jacobi identity for a metric Lie algebra and coincides with the Jacobi identity of a metric n-Lie algebra. In low dimension we present evidence for a geometric characterisation of the relation in terms of middle-dimensional orthogonal planes in Euclidean or Lorentzian inner product spaces.
