3 papers
math.QA2008
Abelian ideals with given dimension in Borel subalgebras
Li Luo
A well-known Peterson's theorem says that the number of abelian ideals in a Borel subalgebra of a rank- finite dimensional simple Lie algebra is exactly . In this paper, we…
math.RA2008
Abelian Ideals and Cohomology of Symplectic Type
Li Luo
For symplectic Lie algebras , denote by and its Borel subalgebra and maximal nilpotent subalgebra, respectively. We cons…
math.RA2008
Cohomology of Oriented Tree Diagram Lie Algebras
Li Luo
Xu introduced a family of root-tree-diagram nilpotent Lie algebras of differential operators, in connection with evolution partial differential equations. We generalized his notion…