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Anomaly-free Hyperspherical Hamiltonian spaces for simple reductive groups
Guodong Tang, Chen Wan, Lei Zhang
In this paper, we provide a complete list of anomaly-free hyperspherical Hamiltonian spaces for simple reductive groups, as well as their conjectural dual spaces in the sense of BZ…
A Conjecture for Multiplicities of Strongly Tempered Spherical Varieties
Chen Wan, Lei Zhang
In this paper, we form a conjecture about the multiplicities of all the strongly tempered spherical varieties without Type N root for tempered representations. This generalizes the…
Multiplicities for Strongly Tempered Spherical Varieties
Chen Wan, Lei Zhang
In this paper, we study the local multiplicity of 10 strongly tempered spherical varieties. We will formulate a uniform epsilon dichotomy conjecture for all these models regarding…
The multiplicity problems for the unitary Ginzburg-Rallis models
Chen Wan, Lei Zhang
We consider the local multiplicity problems of the analogy of the Ginzburg-Rallis model for the unitary group and the unitary similitude group cases. For the unitary similitude gro…