J. Wolf

activity

20022009

most citedCycle Spaces of Flag Domains: A Complex Geometric Viewpoint

54 citations · 79 across the 12 of their papers we have counts for

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Showing 2008Show all

4 papers · 1 filter

math.RT2008★ 2 cited

Branching of Representations to Symmetric Subgroups

Michael G. Eastwood, Joseph A. Wolf

Let $≫$ be the Lie algebra of a compact Lie group and let $θ$ be any automorphism of $≫$ . Let $\gk$ denote the fixed point subalgebra $≫^{θ}$ . In this paper we present LiE prog…

math.CV2008★ 1 cited

Cycle Space Constructions for Exhaustions of Flag Domains

Alan Huckleberry, Joseph A. Wolf

In the study of complex flag manifolds, flag domains and their cycle spaces, a key point is the fact that the cycle space $M_{D}$ of a flag domain $D$ is a Stein manifold. T…

math.RT2008

Infinite Dimensional Multiplicity Free Spaces I: Limits of Compact Commutative Spaces

Joseph A. Wolf

We study direct limits $(G, K) = lim (G_{n}, K_{n})$ of compact Gelfand pairs. First, we develop a criterion for a direct limit representation to be a multiplicity--free discrete…

math.RT2008

Infinite Dimensional Multiplicity Free Spaces II: Limits of Commutative Nilmanifolds

Joseph A. Wolf

We study direct limits $(G, K) = lim (G_{n}, K_{n})$ of Gelfand pairs of the form $G_{n} = N_{n} ⋊ K_{n}$ with $N_{n}$ nilpotent, in other words pairs $(G_{n}, K_{n})$ for which $G_{n} / K_{n}$ …