摘要
The purpose of this paper is to construct quotient algebras L(A)1C/I(A)of complex degenerate composition Lie algebras L(A)1C by some ideals,where L(A)1C is defined via Hall algebras of tubular algebras A,and to prove that the quotient algebras L(A)1C/I(A)are isomorphic to the corresponding affine Kac-Moody algebras.Moreover,it is shown that the Lie algebra Lre(A)1C generated by A-modules with a real root coincides with the degenerate composition Lie algebra L(A)1C generated by simple A-modules.
基金
Supported by the National Natural Science Foundation of China(Grant Nos.10371101 and 10671161)
