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math.RT2012★ 3 cited
Joseph-like ideals and harmonic analysis for osp(m|2n)
Kevin Coulembier, Petr Somberg, Vladimir Soucek
The Joseph ideal in the universal enveloping algebra U(so(m)) is the annihilator ideal of the so(m)-representation on the harmonic functions on R^{m-2}. The Joseph ideal for sp(2n)…
math.RT2012
The branching problem for generalized Verma modules, with application to the pair , extended version with tables
Todor Milev, Petr Somberg
We discuss the branching problem for generalized Verma modules applied to couples of reductive Lie algebras $\bar{\mathfrak g}\hookrightarrow \mathf…