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math.RT2015
Differential equations and singular vectors in Verma modules
Wei Xiao
Xu introduced a system of partial differential equations to investigate singular vectors in the Verma modules of highest weight over . He proved th…
math.RT2015
Dirac operators and cohomology for Lie superalgebras
Wei Xiao
Vogan raised the idea of Dirac cohomology to study representations of semisimple Lie groups and Lie algebras. He conjectured that the infinitesimal character of Harish-Chandra modu…