most citedIndex and stable linear forms of Lie algebras

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math.RT2003★ 1 cited

On the index of certain Lie algebras

Patrice Tauvel, Rupert W. T. Yu

We give an upper bound for the index of certain Lie algebras, called of seaweed type, introduced by V. Dergachev, A. Kirillov and D. Panyushev. We deduce from this a conjecture of…

math.RT2003★ 23 cited

Index and stable linear forms of Lie algebras

Patrice Tauvel, Rupert W. T. Yu

We characterize, in a purely algebraic manner, certain linear forms, called stable, on a Lie algebra. As an application, we determine the index of a Borel subalgebra of a semi-simp…