Kaiming Zhao

TL;DR: In this article, some irreducible graded modules with 1-dimensional homogeneous spaces over the Virasoro-like algebra and its q-analogs are constructed.

TL;DR: In this paper, the centers of homogenizations of down-up algebras were solved by Benkart and Roby, and the problem of finding the center of the homogenization was solved.

TL;DR: The Lie algebra of Cartan type H which occurs as a subalgebra of the polynomial algebra of derivations of the Laurent polynomials was generalized in this article.

TL;DR: The Lie algebra of Cartan type K which occurs as a subalgebra of the Lie algebra for derivations of the polynomial algebra F[x 0, x 1, x 2, x 3, x 4, x 5,x 6,x 7,x 8,x 9,x 10,x 11,x 12,x 13,x 14,x 15,x 16,x 17,x 18,x 19,x 20,x 21,x 22,x 23,x 24,x 25,x 26,x 28,x

TL;DR: In this article, a class of infinite dimensional Lie algebras L(A, δ, α) over a field of characteristic 0 are studied, and a large subclass of them are shown to have no toral elements.