Tetraplectic Structures, Tri-moment Maps, and Quaternionic Flag Manifolds

نویسنده

  • Philip Foth
چکیده

The purpose of this note is to define a tri-moment map for certain manifolds with an Sp(1)-action. We show how this map can be used ro reduce such manifolds. The images of such maps for quaternionic flag manifolds, which are defined using the Dieudonné determinant, resemble the polytopes from the complex case.

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تاریخ انتشار 2001