Bundles of Lie algebras (Q2855846)

This paper gives a complete classification of irreducible closed linear bundles of Lie algebras. Let us recall that the notion of matrix Lie algebras is very important in mathematics and physics. In this work, the author starts with some usefull definitions. The Lie bundle naturally associated with a symplectic vector space is considered. Then, the linear bundles are classified. Moreover, the author uses the Rais formula to compute the index of the Lie bundles of square matrices.