Lie Bialgebra Structure of Derivation Lie Algebra over Quantum Torus
摘要
In this paper, all Lie bialgebra structures on the derivation Lie algebra W over a rank d ≥ 3 quantum torus associated to q are considered, where q is a d × d matrix with all the entries being roots of unity. They are shown to be triangular coboundary. As a byproduct, it is also proved that the first cohomology group H1 (W, W ⊗ W) is trivial.