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Dual Lie bialgebra structures of the twisted Heisenberg–Virasoro type

Dual Lie bialgebra structures of the twisted Heisenberg–Virasoro type

In this paper, by studying the maximal good subspaces, we determine the dual Lie coalgebras of the centerless twisted Heisenberg–Virasoro algebra. Based on this, we construct the dual Lie bialgebras structures of the twisted Heisenberg–Virasoro type. As by-products, four new infinite dimensional Lie algebras are obtained.