A. Huckleberry

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19982003

most citedCycle Spaces of Flag Domains: A Complex Geometric Viewpoint

54 citations · 59 across the 3 of their papers we have counts for

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math.RT2003★ 5 cited

Injectivity of the Double Fibration Transform for Cycle Spaces of Flag Domains

Alan T. Huckleberry, Joseph A. Wolf

The basic setup consists of a complex flag manifold $Z = G / Q$ where $G$ is a complex semisimple Lie group and $Q$ is a parabolic subgroup, an open orbit $D = G_{0} (z) \subset Z$ where…

math.RT2002

Cycle spaces of G-orbits in $G^{C}$ -flag manifolds

A. Huckleberry, B. Ntatin

It is shown that the cycle space of an arbitrary orbit of a non-Hermitian real form G in a flag manifold $Z = G^{C} / Q$ of its complexification is naturally equivalent to a cert…

math.RT2002★ 54 cited

Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint

Alan T. Huckleberry, Joseph A. Wolf

This is a survey of history, methods and developments in the theory of cycle spaces of flag domains, and new results on double fibration transforms and their applications.

Injectivity of the Double Fibration Transform for Cycle Spaces of Flag Domains

Cycle spaces of G-orbits in GC-flag manifolds

Cycle Spaces of Flag Domains: A Complex Geometric Viewpoint

Cycle spaces of G-orbits in $G^{C}$ -flag manifolds