Xiaoping Xu

activity

19992009

most citedTree Diagram Lie Algebras of Differential Operators and Evolution Partial Differential Equations

10 citations · 29 across the 20 of their papers we have counts for

collaborators

Showing 2008 · math.RTShow all

3 papers · 2 filters

math.RT2008★ 2 cited

Polynomial Representation of $E_{7}$ and Its Combinatorial and PDE Implications

Xiaoping Xu

In this paper, we use partial differential equations to find the decomposition of the polynomial algebra over the basic irreducible module of $E_{7}$ into a sum of irreducible submod…

math.RT2008

Polynomial Representation of E6 and Its Combinatorial and PDE Implications

Xiaoping Xu

In this paper, we use partial differential equations to find the decomposition of the polynomial algebra over the basic irreducible module of E6 into a sum of irreducible submodule…

math.RT2008★ 3 cited

Polynomial Representation of $F_{4}$ and a New Combinatorial Identity about Twenty-Four

Xiaoping Xu

Singular vectors of a representation of a finite-dimensional simple Lie algebra are weight vectors in the underlying module that are nullified by positive root vectors. In this art…

Polynomial Representation of E7​ and Its Combinatorial and PDE Implications

Polynomial Representation of E6 and Its Combinatorial and PDE Implications

Polynomial Representation of F4​ and a New Combinatorial Identity about Twenty-Four

Polynomial Representation of $E_{7}$ and Its Combinatorial and PDE Implications

Polynomial Representation of $F_{4}$ and a New Combinatorial Identity about Twenty-Four