, Volume 317, Issue 2, pp 317-345
Date: 23 Nov 2012

Non-Levi Closed Conjugacy Classes of SP q (2n)

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Abstract

We construct an explicit quantization of semi-simple conjugacy classes of the complex symplectic group SP(2n) with non-Levi isotropy subgroups through an operator realization on highest weight modules over the quantum group \({U_q\bigl(\mathfrak{sp}(2n)\bigr)}\) .

Communicated by Y. Kawahigashi