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math.RT2009
Differential-Operator Representations of and Singular Vectors in Verma Modules
Xiaoping Xu
Given a weight of $sl(n,\mbb{C})$, we derive a system of variable-coefficient second-order linear partial differential equations that determines the singular vectors in the corresp…
math.RT2009★ 4 cited
Representations of Lie Algebras and Coding Theory
Xiaoping Xu
Linear codes with large minimal distances are important error correcting codes in information theory.Orthogonal codes have more applications in the other fields of mathematics. In…