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math-ph2010★ 2 cited
Jordanian double extensions of a quadratic vector space and symmetric Novikov algebras
Minh Thanh Duong, Rosane Ushirobira
First, we study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra. We give an isomorphic characterization of 2…
math.RT2010★ 2 cited
A new invariant of quadratic Lie algebras
Duong Minh Thanh, Georges Pinczon, Rosane Ushirobira
We define a new invariant of quadratic Lie algebras and give a complete study and classification of singular quadratic Lie algebras, i.e. those for which the invariant does not van…